Nature And Structure Of Mathematics

Nature And Structure Of Mathematics Chapter 2 Literature review In this chapter, literature related to mathematics confidence, reflection and problem- solving are reviewed. The chapter begins with an introduction to mathematics and the occurrence of educational changes and concerns in South Africa. It examines the metacognitive activity reflection and its various facets along with affective issues in mathematics. Then, differentiating between past and current research, the focus will be on how mathematics confidence and reflective thinking relates to the level of achievement and performance in mathematics problem-solving processes. Concluding description will follow, illustrating the relationship between reflection and mathematics confidence during problem-solving processes. 2.1 Mathematics, its nature and structure Mathematics can be seen as a combination of calculation skill and reasoning (Hannula, Maijala Pehkonen, 2004:17) and can further be classified as an individuals mathematical understanding. Mathematics is a process, fixed to a certain person, a topic, an environment or an idea (Hiebert Carpenter, 1992). Mathematics originated as a necessity for societal, technological and cultural growth or leisure (Ebrahim, 2010:1). This desire led to the advancement of concepts and theories in order to meet the needs of various cultures throughout time. With its imprint in nature, architecture, medicine, telecommunications and information technology, the use of mathematics has overcome centuries of problems and continues to fulfil the needs of problem-solvers to solve everyday problems. Although mathematics has changed throughout time, in its progress and influences there are interwoven connections between the cognitive, connotative and affective psychological domains. The increasing demand to process and apply information in a South African society, a society characterised by increasing unemployment and immense demands on schools, still awaits recovery and substance from these cognitive and metacognitive challenges (Maree Crafford, 2010: 84). From a socio-constructivists perspective, developing, adapting and evolving more complex systems should be the aim and goal of mathematics education (Lesh Sriraman, 2005). According to Thijsse (2002:34) mathematics is an emotionally charged subject, evoking feelings of dislike, fear and failure. Mathematics involves cognitive and affective factors that form part of the epistemological assumptions, regarding mathematical learning (Thijsse, 2002:7 that will be discussed in the following section. 2.1.2 Epistemological assumptions regarding mathematics learning English (2007:123-125) lays down powerful ideas for developing mathematics towards the 21st century. Some of these ideas include: 2.1.2.1 A social constructivist view of problem-solving, planning, monitoring and communication; 2.1.2.2 Effective and creative reasoning skills; 2.1.2.3 Analysing and transforming complex data sets; 2.1.2.4 Applying and understanding school Mathematics; and 2.1.2.5 Explaining, manipulating and forecasting complex systems through critical thinking and decision making. With emphasis on the learner, from a constructivist perspective, learning can be viewed as the active process within and influenced by the learner (Yager, 1991:53). Mathematical learning is therefore an interactive consequence of the encountered information and how the learner processes it, based on perceivednotions and existing personal knowledge (Yager, 1991:53). According to DoE (2003:3) competence in mathematics education is aimed at integrating practical, foundational and reflective skills. While altering the paradigms in learning, mathematics education was turned upside down with the shift being towards instructing, administering and applying metacognitive-activity-based learning in schools as claimed by Yager (1991:53) and Leaf (2005:12-18). This change and reform in education and education paradigms is illustrated in Figure 2.1. Early 1900s Early 1900s 1960s 1980s 1980s- 2000s 1980s 2000s The overarching approach with impact on education and therapy focussing on metacognition In Figure 2.1 Leaf (2005:4) states that the intelligence quotient (IQ) is one of the greatest paradigm dilemmas. This approach is designed in the early twentieth century by F. Galton and labelled too many learners as either slow or clever. The IQ-tests did assess logical, mathematical and language preference and dominance in learners but left little or no room for other ways of thinking in mental aptitude (Leaf, 2005:5). In contrast to the IQ-approach is Piagets approach, named after its founder, Jean Piaget, who apposed the IQ-approach. Focussing on cognitive development, he suggests timed stages or learning phases in a childs cognitive development as a prerequisite to the learning process. Piaget exclaims that if a stage is overseen, learning will not take place. A third paradigm, the Information processing age, divided problem-solving into three phases: input, coded storing and output. Designed in an era where technological advances and computers entered schools and the school cur riculum, information processing was seen as comparing the learner with a microchip. Thus, retrieving and storing data and information was seen as a method to practise and learn as being the focus of learning. This learning took place in a hierarchical order, and one phase must be mastered before continuing to a more difficult task. Outcomes Based Education (OBE) was implemented after the 1994 national democratic elections in South Africa. Since 1997 school systems underwent drastic changes from the so called apartheid era. According to the Revised National Curriculum Statement (2003) the curriculum is based on development of the learners full potential in a democratic South Africa. Creating lifelong learners are the focus of this paradigm. After unsuccessfully transforming education in South Africa, a need still exists to challenge some of the shortcomings of the above mentioned paradigms. An Overarching approach is an aided paradigm proposed by Leaf (2005:12). The Overarching approach focuses on learning dynamics or in other words, what makes learning possible. This paradigm utilizes emotions, experiences, backgrounds and cultural aspects in order to facilitate learning and problem-solving (Leaf, 2005:12-15). Above mentioned aspects are also known to associate with performance in mathematics problem-solving (Maree, Prinsloo Claasen, 1997a; Leaf, 2005:12-15). 2.1.3 Some factors associated with performance in mathematics Large scale international studies, focussing on school mathematics, compare countries in terms of learners cognitive performance over time (TIMSS, 2003 PISA, 2003). A clear distinction must be made between mathematics performance factors in these developed and developing countries (Howie, 2005:125). Howie (2005:123) explored data from the TIMSS-R South African study which revealed a relationship between contextual factors and performance in mathematics. School level factors seem to be far less influential (Howie, 2005: 124, Reynolds, 1998:79). According to Maree et al. (2005:85), South African learners perform inadequately due to a number of traditional approaches towards mathematics teaching and learning. Maree (1997b:95) also classifies problems in study orientation as cognitive factors, external factors, internal and intra-psychological factors, and facilitating subject content. One psychological factor in the Study Orientation in Mathematics questionnaire (SOM) by Maree, Prinsloo and Claasen (1997b) is measured as the level of mathematics confidence of grade 7 to 12 learners in a South African context. Sherman and Wither (2003:138) documented a case where a psychological factor, anxiety, causes an impairment of mathematics achievement. A distillation of a study done by Wither (1998) concluded that low mathematics confidence causes underachievement in mathematics. Due to insufficient evidence it could not prove that underachievement results in low mathematics confidence. The study did indicate that a possible third factor (metacognition) could cause both low mathematics confidence and underachievement in mathematics (Sherman Wither, 2003:149). Thereupon, factors manifested by the learner are discussed below. Academic underachievement and performance in mathematics is determined by a number of variables as identified by Lombard (1999:51); Maree, Prinsloo and Claasen (1997); and Lesh and Zawojewski (2007). These variables include factors manifested by the learner, environmental factors and factors during the process of instruction. 2.1.3.1 Some associated factors manifested by the learner Affective issues revolve around an individuals environment within different systems and how that individual matures and interact within the systems (Lombard, 1999:51 Beilock, 2008:339). In these systems it appears that learners have a positive or negative attitude towards mathematics (Maree, Prinsloo Claasen, 1997a). Beliefs about ones own capabilities and that success cannot be linked to effort and hard work is seen as affective factors in problem-solving (Dossel, 1993:6; Thijsse, 2002:18). Distrust in ones own intuition, not knowing how to correct mistakes and the lack of personal effort is regarded as factors that facilitate mathematics anxiety, manifested by the learner (Thijsse, 2002:36; Russel, 1999:15). 2.1.3.2 Some associated environmental factors Timed testing environments such as oral exam/testing situations, where answers must be given quickly and verbally are seen as environmental factors that facilitates underachievement in mathematics. Public contexts where the learner has to express mathematical thought in front of an audience or peers may also be seen as an environmental factor limiting performance. 2.1.3.3 Some associated factors during the process of instruction Knowledge about study methods, implementing different strategies and domain specific knowledge is seen as factors that influence performance in mathematics. It seems as though performance is measured according to the learners ability to apply algorithms dictated by a higher authority figure such as parents or teachers (Russell, 1995:15; Thijsse, 2002:35). Thijsse (2002:19) agrees with Dossel (1993:6) and Maree (1997) that the teachers attention to the right or wrong dichotomy, stresses the fact that mathematics education can also be associate with performance. A brief discussion on mathematics problem-solving will now follow. 2.2 Mathematics problem-solving A mathematics problem can be defined as a mathematical based task indicating realistic contexts in which the learner creates a model for solving the problem in various circumstances (Chalmers, 2009:3). Making decisions within these contexts is only one of the elementary concepts of human behaviour. In a technology based information age, computation; conceptualisation and communication are basic challenges South Africans have to face (Maree, Prinsloo Claasen, 1997; Lesh Zawojewski, 2007). Problem-solving abilities are needed and should be developed for academic success, even beyond school level. According to Kleitman and Stankov (2003:2) managing uncertainty in ones understanding is essential in mathematical problem-solving. Lester and Kehle (2003:510) fear that mathematical problem-solving is currently getting more complex then in previous years. Therefore problem-solving continues to gain consideration in the policy documents of various organisations, internationally (TIMSS, 2003; SACMEQ, 2009; PIRLS, 2009; Moloi Strauss, 2005 NCTM, 1989) and nationally (DoE, 2010; DoE, 2010: 3). As Lesh and Zawojewski (2007:764) states The pendulum of curriculum change again swings back towards an emphasis on problem-solving. Problem-solving is emphasised as a method involving inquiry and decision making (Fortunato, Hecht, Tittle Alvarez, 1991:38). Generally two types of mathematical problems exist: routine problems and non-routine problems. The use and application of non-routine problems, unseen mathematical processes and principles are part of the scope of mathematics education in South Africa (DoE, 2003:10). Keeping track of and on the process of information seeking and decision making, mathematics problem-solving is linked to the content and context of the problem situation (Lesh Zawojewski, 2007:764). It seems as though concept development and development of problem-solving abilities should be part of mathematics education and beliefs, feelings or other affective factors should be taken into account. In the next section a discussion will follow regarding past research done on mathematics problem-solving. 2.2.1 Some research done on mathematics problem-solving in the past Studies on learners performance in mathematics and how their behaviours vary in approaches to perform, was the conduct of research on mathematics problem-solving since the 1930s (Dewey, 1933; Piaget, 1970; Flavell; 1976; Schoenfeld, 1992; Lester Kehle, 2003; Lesh Zawojewski , 2007:764). Good problem solvers were generally compared to poor problem-solvers (Lester Kehle, 2003:507) while Schoenfeld (1992) suggested that the former not only knows more mathematics, but also knows mathematics differently (Lesh and Zawojewski, 2007:767). The nature and development of mathematics problems are also widely researched (Lesh Zawojewski, 2007:768), especially with the focus on how learners seeand approach mathematics and mathematical problems. Polya-style problems involve strategies such as picture drawing, working backwards, looking for a similar problem or identifying necessary information (Lesh Zawojewski, 2007:768). Confirming the use of these strategies Zimmerman (1999:8-10) describe dimensions for academic self-regulation by involving conceptual based questioning using a technique called prompting. Examples of these prompts are questions starting with why; how; what; when and where, in order to provide scaffolding for information processing and decision making. 2.2.2 Working memory, information processing and mathematics problem-solving of the individual learner In the 1970s problems were seen an approach from an initial state towards a goal state (Newell Simon, 1972 in Goldstein, 2008:404) involving search and adapt strategies. 2.2.2.1 Working memory as an aspect of problem-solving The working memory is essential for storing information regarding mathematics problems and problem-solving processes (Sheffield Hunt, 2006:2). Cognitive effects, such as anxiety, disrupt processing in the working memory system and underachievement will follow (Ashcraft; Hopko Gute, 1998:343; Ashcraft, 2002:1). These intrusive thoughts, like worrying, overburden the system. The working memory system consists of three components: the psychological articulatory loop, visual-spatial sketch pad and a central executive (Ashcraft; Hopko Gute, 1998:344; Richardson et al, 1996). 2.2.2.2 Problem-solving persona of the mathematics learner The learner, either an expert or novice-problem-solver is researched on his/her ideas, strategies, representations or habits in mathematical contexts (Ertmer Newby, 1996). Expert learners are found to be organised individuals who have integrated networks of knowledge in order to succeed in mathematics problem-situations (Lesh Zawojewski, 2007:767; Zimmerman, 1994). Clearly learners problem-solving personality affects their achievement. According to Thijsse (2002:33) learners who trust their intuition and perceive that intuition as insight into a rational mind, rather than emotional and irrational feelings, are more confident. The variety of attributes, such as anxiety and confidence, is included in reflective processes either cogitatively or metacognitatively which will be discussed in the next section. 2.3 Cognitive and metacognitive factors Although cognitive and metacognitive processes are compared in literature, Lesh and Zawojewksi (2007:778) argues that mathematics concepts and higher order thinking should be studied correspondingly and interactively. Identifying individual trends and behaviour patterns or feelings, could relate to mathematics problem-solving success (Lesh Zawojewksi, 2007:778). 2.4.1 Cognition processes during mathematics problem-solving Newstead (1999:25) describes the cognitive levels of an individual as being either convergent (knowledge of information) or divergent (explaining, justification and reasoning). 2.3.2 Metacognition 2.3.2.1 Components of metacognition 2.3.2.2 Past research done on metacognition The Polya-style heuristics on problem-solving strategies, mentioned previously, is noted by Lesh and Zawojewski (2007:368) as an after-the-fact of past activities process. This review process between interpreting the problem, and the selection of appropriate strategies, that may or may not have worked in the past, is linked with experiences (negative or positive) which provide a framework for reflective thinking. Reflection is therefore a facet of metacognition. 2.3.3 Reflection as a facet of metacognition Reflection, as defined by Glahn, Specht and Koper (2009:95), is an active reasoning process that confirms experiences in problem-solving and related social interaction. Reflecting can be seen as a transformational process from our experiences and is effected by our way of thinking (Garcia, Sanchez Escudero, 2009:1). 2.3.3.1 Development of reflective thinking Thinking about mathematics problems and reflecting on them is essential for interpreting the given problems provided details about what is needed in order to solve the problem (Lesh Zawojewski, 2007:368). Schoenfeld (1992) mentions an examining of special cases for selecting appropriate strategies from a hierarchical description, but Lesh and Zawojewski (2007:369) argue that this will involve a too long (prescriptive process) or too short conventional list of prescribed strategies. Lesh and Zawojewski (2007:770) rather suggest a descriptive process to reflect on and develop sample experiences. The focus should be on various facets of individual persona and differences, such as prior knowledge and experiences, which differs between individuals. 2.3.3.2 Expansion models for reflectivepractice According to Pletzer et al (1997) applying reflective practice is a powerful and effective way of learning. Three models for reflective practice exist: the reflective cycle of Gibbs (1988), Ertmer and Newby (1996), Johns-model (2000) for structural reflection and Rolfe et als (2001) framework for reflective practice. The first model is that of Gibbs (1988). i Gibbss (1988) model for reflection Gibbs model is mostly applied during reflective writing (Pugalee, 2001). This model for reflection is exercised during problem-solving situations by assessing first and second cognitive levels. A particular situation, such as in Figure 2.2, when the learner has to solve a mathematical problem is described by accompanying feelings and emotions that will be remembered and reflected upon. A conscience cognitive decision will then be made determining whether the experience was a positive (good) otherwise negative (bad) emotion, or feeling. By analysing the sense of the experience a conclusion can be made where other options are considered to reflect upon. (Gibbs, 1988; Ertmer Newby, 1996) iiJohns (2000) model for structural and guided reflection This model provides a framework for analysing and critically reflecting on a general problem or experience. The Johns-model (2000) provides scaffolding or guidance for more complex problems found on cognitive levels three and four. Reflect on and identify factors that influence your actions Figure 2.3Johns model for reflective practice Source:Adapted from John (2000) The model in Figure 2.3 is divided into two phases. Phase 1 refers to the recall of past memories and skills from previous experiences, where the learner identifies goals and achievements by reflecting into their past. This could be easily done using a video recording of a situation where the learner solves a problem. It is in this phase where they take note of their emotions and what strategies were used or not. On the other hand, phase 2 describes the feelings, emotions and surrounding thoughts accompanying their memories. A deeper clarification is given when the learner has to motivate why certain steps were left out or why some strategies were used and others not. They have to explain how they felt and the reason for the identified emotions. At the end the learner should reflect between the in and out components to identify any factor(s) that could have effected their emotions or thoughts in any way. A third model is proposed by Rolfe et al (2001), known as a framework for reflex ive practice. iiiRolfe et als model for reflexive practice. According to Rolfe et al (2001) the questions ‘what? and ‘so what? or ‘now what?, can stimulate reflective thinking. The use of this model is simply descriptive of the cognitive levels and can be seen as a combination of Gibbs (1988) and Johns (2000) model. The learner reflects on a mathematics problem in order to describe it. Then in the second phase, the learner constructs a personal theory and knowledge about the problem in order to learn from it. Finally, the learner reflects on the problem and considers different approaches or strategies in order to understand or make sense of the problem situation. Table 2.1 demonstrates this model of Rolfe et al (2001) in accordance with the models of Gibbs (1988) and Johns (2000) as adapted by the researcher. It shows the movement of thought actions and emotions between different stages of reflection (before, during and after) in problem-solving. Table 2.1Integration of reflective stages and the models for reflective practice Stage 1 Reflection before action Stage 2 Reflection during action Stage 3 Reflection after action Descriptive level of reflection (planning and describing phase) Theory and knowledge building of reflection (decision making phase) Action orientated level (reflecting on implemented strategy-action) Identify the level of difficulty of the problem and possible reasons for feeling, or not feeling, â€Å"stuck†, â€Å"bad† or unable to go to the next step. Pay attention to thought and emotions and identify them. Describe negative attitude towards mathematics problems, if any Observe and notice expectations of self and others: like parents, teachers or peers Evaluate the positive and negative experiences Analyse and understand the problem and plan the next step, approach or strategy Perform the planned action Awareness of ethics, beliefs, personal traits or motivations Recall strategies that worked in the past. Reflect on the solution, reactions and attitudes Source:Adapted from Johns (2000), Gibbs (1988) and Rolfe et al (2001) 2.3.3.3 The reflection process While some research claims, seeing and doing mathematics as useful in the interpretation and decision making of problem-solving processes (Lesh Zawojewski, 2007), a more affective approach would involve feelings or the feelings about mathematics(Sheffield Hunt, 2006), in other words, affective factors. 2.4 Affective factors in mathematics Rapidly changing states of feelings, moderately stable tendencies, internal representations and deeply valued preferences are all categories of affect in mathematics (Schlogmann, 2003:1).Reactions to mathematics are influenced by emotional components of affect. Some of these components include negative reactions to mathematics, such as: stress, nervousness, negative attitude, unconstructive study-orientation, worry, and a lack of confidence (Wigfield Meece, 1988; Maree, Prinsloo Claasen, 1997). Learners self-concept is strongly connected to their self-belief and their success in solving mathematics problems is conceptualised as important (Hannula, Maijala Pehkonen, 2004:17). A study done by Ma and Kishor (1997) confirmed belief, as an affect on mathematics achievement, being weakly correlated with achievement among children from grade 2 to 8. However, Hannula, Maijala and Pehkonen (2004) conducted a study on learners in grade 7 to 12 and concluded that there is a strong correlatio n between their belief and achievement in mathematics. Beliefs and are related to non-cognitive factors and involve feelings. According to Lesh and Zawojewski (2007:775) the self-regulatory process is critically affected by beliefs, attitudes, confidence and other affective factors. 2.4.1Beliefs as an affective factor in mathematics Belief, in a mathematics learner, form part of constructivism and can be defined as an individuals understanding of his/her own feelings and personal concepts formed when the learner engages in mathematical problem-solving (Hannula, Maijala Pehkonen, 2004:3). It plays an important role in attitudes and emotions due to its cognitive nature and, according to Goldin (2001:5), learners attribute a kind of truth to their beliefs as it is formed by a series of background experiences involving perception, thinking and actions (Furinghetti Pehkonen, 2000:8) developed over a long period of time (Mcleod,1992:578-579). Beliefs about mathematics can be seen as a mathematics world view (Schlogmann, 2003:2) and can be divided into four major categories (Hannula, Maijala Pehkonen, 2004:17): beliefs on mathematics (e.g. there can only be one correct answer), beliefs about oneself as a mathematics learner or problem solver (e.g. mathematics is not for everyone), beliefs on teaching mathematics (e. g. mathematics taught in schools has little or nothing to do with the real world) and beliefs on learning mathematics (e.g. mathematics is solitary and must be done in isolation) (Hannula, Maijala Pehkonen, 2004:17). Faulty beliefs about problem-solving allow fewer and fewer learners to take mathematics courses or to pass grade 12 with the necessary requirements for university entrance. Beliefs are known to work against change or act as a consequence of change and also have a predicting nature (Furinghetti Pehkonen, 2000:8). Affective issues, such as beliefs, generally form part of the cognitive domain, anxiety (Wigfield Meece, 1988), which will be dealt with in the next section. 2.4.2 Anxiety Anxiety, an aspect of neuroticism, is often linked with personality traits such as conscientiousness and agreeableness (Morony, 2010:2). This negative emotion manifests in faulty beliefs that causes anxious thoughts and feelings about mathematics problem-solving (Ashcraft; Hopko Gute, 1998:344; Thijsse, 2002:17). Distinction can be made between the different types of anxieties as experienced by learners across all age groups. Some of these anxieties include general anxiety, test or evaluation anxiety, problem-solving anxiety and mathematics anxiety. The widespread phenomenon, mathematics anxiety, threatens performance of learners in mathematics and interferes with conceptual thinking, memory processing and reasoning (Newstead, 1999:2). 2.4.2.1 Mathematics anxiety The pioneers of mathematics anxiety research, Richardson and Suinn (1972), defined mathematics anxiety in terms of the affect on performance in mathematics problem-solving as: Feelings of tension and anxiety that interfere with the manipulation of numbers and the solving of mathematical problems in a wide variety of ordinary life and academic situations This anxious and avoidance-behaviour towards mathematics has far reaching consequences as stressed by a number of researchers (Maree, Prinsloo Claasen, 1997; Newstead, 1999; Sheffield Hunt, 2006 Morony, 2009). Described as a chain reaction, mathematics anxiety consists of stressors, perceptions of threat, emotional responses, cognitive assessments and dealing with these reactions. A number of researchers expand the concept of mathematics anxiety to include facilitative and debilitative anxiety (Newstead, 1998:2). It appears that Ashcraft; Hopko; Gute (1998:343) and Richardson et al (1996) see mathematics anxiety in the same locale as the working memory system. Both areas consist of psychological, cognitive and behavioural components. Although they agree on the same components, Eysenck and Calvo (1999) states that it is not the experience of worry that diverts attention or interrupts the working memory process, but rather ineffective efforts to divert attention away from worrying a nd instead focus on the task at hand. 2.4.2.2 Symptoms for identifying mathematics anxiety Mathematics anxiety is symptomatically described as low (feelings of loss, failure and nervousness) or high (positive and motivated attitude) confidence in Mathematics (Maree, Prinsloo Claasen, 1997a:7). Dossel (1993:6) and Thijsse (2002:18) states that these negative feelings are associated with a lack of control when uncertainty and helplessness is experienced when facing danger. Unable to think rationally, avoidance and the inability to perform adequately causes anxiety and negative self-beliefs Mitchell, 1987:33; Thijsse, 2002:17). Anxious children show signs of nervousness when a teacher comes near. They will stop; cover their work with their arm, hand or book, in an approach to hide their work (May, 1977:205; Maree, Prinsloo Claasen, 1997; Newstead, 1998 Thijsse, 2002:16). Panicking, anxious behaviour and worry manifests in the form of nail biting, crossing out correct answers, habitual excuse from the classroom and difficulty of verbally expressing oneself (Maree, Prinsloo Claasen, 1997a). Mar

Witchcraft During the Renaissance

Accompanying and following the Renaissance â€Å"rebirth† during the fourteenth through sixteenth centuries and supplementing the Protestant and Catholic Reformations, the persecution of individuals as witches in Europe reached its zenith during the sixteenth century. Countless people, women and men alike, were accused of witchcraft, although this scale was tipped significantly toward poor, old women whose husbands’ had low wage work. The notion of witchcraft appealed to and was possible at the time to the general public because such occurrences as â€Å"mysterious disappearances† or â€Å"Satanic luck† necessitated explanations.These events were thus attributed to â€Å"servants of the Devil,† or witches, who were supposedly possessed to bend to Satan’s will as stated my Luther. Luther’s bias was towards the bible because he was a religious leader; therefor he believed what it said, which was that witches existed. Many accused witches were tortured until they either admitted, like Walpurga Hausmannin, or were killed from torture. Hausmannin’s bias was towards women because she was one, and she was very skeptical towards all the women being killed.No one was safe, as even mayors councilors and associate judges were persecuted. The witch-hunting excitement of the period resulted from religious, individual, societal, and sociological fears and interests prevalent during the time frame. First, highly influential religious individuals like Luther, Calvin, and the pope form a group of people who played a major role in promoting the belief of witchcraft among the people. Pope Innocent VIII, for example, willingly accepted the concept of witchcraft and even fully supported the persecution of witches.His bias was also towards the Bible. As a religious leader, the Pope wholeheartedly believed that individuals â€Å"give themselves over to devils† and, as a servant of God, was obliged to purge the world of th em. The notable Protestant leaders Martin Luther and John Calvin shared this identical perspective. Luther stresses that the â€Å"Devil’s whores† exist to cause chaos and disruption in God’s world. As he strictly upheld the status quo, Luther would have used the convenient explanation that the poor laborers were more likened to turn to witchcraft.Calvin, on the other hand, compares the problem of witchcraft to that of waging â€Å"war against an infinite number of enemies†. Calvin, as an advocate of an organization adjoining religion and state, naturally views the campaign against witches as war. Clergy, influenced by these religious leaders, recorded any slightly suspicious activity as supernatural and Satanic. Since the majority of Europe was Catholic or some form of Protestant during the time, the people looked up to their respective leaders for â€Å"truth. As popes, Luther, and Calvin professed the existence of witchcraft, the people did as well. H owever, other individuals persecuted witches for purely individual or societal interests. The witch-hunting movement was promoted and effectively advertised by those who would gain from the persecution, namely the â€Å"notaries, copyists, and innkeepers†¦executioner†. According to the account, anyone could be put to trial or torture with the slightest provocation. As a result, the individuals who gained some form of wealth from the persecution supported it.Judges gained support from the people for charging individuals with witchcraft. The demographic aspects of accused witches show that women were much more likely to be persecuted as a consequence of gender biases toward the â€Å"impurity† and â€Å"imperfection† of the feminine sex in the group. The authors of are Dominican monks attempting to clarify the reasons for which women are witches. Although John Wier is skeptical towards the idea of witchcraft, his views sustain the fact that old women’s physical state led to their increased chance of persecution.The most important reason why numerous individuals were branded and persecuted as witches during the late fifteenth through seventeenth centuries was probably as a convenient sociological reason for unexplained occurrences. Any unusual event would cause mass hysteria (Doc B5), and as the people could not directly punish the devils for it, they would be satisfied to reprimand the devils’ servants, the witches, since there could be no other reasonable rationalization.The composition of poems regarding witchcraft shows that it played a prominent role in the life of an ordinary person. It also subtly encourages readers not to fall under possession by resisting Satan’s attempts to control them. John Weir also indicates that the public, including some scientists, passionately favors witch persecution. In late seventeenth-century America, several girls’ witch accusations in Salem, Massachusetts caused two yea rs of witch fear illustrating the common fear of spiritual evils.

Supporting children and young people’s positive behaviour

Supporting Children and Young People's positive behaviour. 1. 2. Describe with examples the importance of all staff consistently and fairly applying boundaries and rules for children and young people's behaviour in accordance with the policies and procedures of the setting. Boundaries: These are the limits within which behaviour is acceptable or what may, and may not be done. Boundaries are there to guide children and young people's behaviour in the setting and it is very important for all staffs to consistently apply these boundaries fairly.Behaviour is learnt from what we see others do or say, so, it s very important for the staff to watch children closely and make sure that they apply the boundaries at all times. The importance of staffs applying the rules and boundaries are: It helps children and people to know what is right from wrong. For example, when a child knows what is right from wrong, or what is acceptable and what is not, then they will be able to do the right thing mos t of the time.If they know jumping is not allowed in the setting then they are going to behave accordingly. If all staff applies the boundaries and rules of their settings, then children will not feel hey are being misled. For example, one staff says they can bring snacks to school and another staff says they are not allowed to bring snacks. If this happens, a child will get confused and feel misled by one of the staff. It enables all the staff to be consistent in their approach in dealing with behaviour issues.For example, if there is no consistency in staff applying the boundaries and rules then there will be chaos in the setting, and this will not help positive behaviour in children. But if there is consistency then every child in the setting will know that no matter whom they go to n the setting, they will always get one answer. The importance of all staff being fair, and consistent are: It helps children to develop a sense of responsibility for their own actions and encourages them to think about the consequences of their behaviour.For example, the rule says no running in the corridor and staff keep reminding children about it all the time then, when a child runs in the corridor the others will tell him or her no running, and he or she will know that if they run, they will fall and when they fall, they will hurt themselves. So, they know what will happen when they disobey. It ensures that the school rules are enforced and children behave in a responsible manner.For instance, when staffs are consistent in applying the rules then there will be order in the settings and the promotion of good behaviour. Children will also know what the rules and boundaries are and therefore behave accordingly. It ensures that all children are treated fairly by staff applying the equal opportunity procedures. For example, when two children behave inappropriately, they both must receive the same sanction, one should not be favoured over the other. When two hildren fght, you hav e to listen to both sides and be fair in your Judgement.Some children behave inappropriately all the time but they must not be victimized in situations but rather listened to and treated tairly as other children It helps children with unwanted behaviour to improve and behave positively. For instance, if a child likes to pinch other children and all the staffs apply the rules consistently, that child is bound to change from that unwanted behaviour to positive behaviour. How to set fair rules and boundaries: Setting realistic rules for the setting; For example, ensuring the set rules are ppropriate for age and stage of development.For instance, setting a rule for one to two years that says, â€Å"No crying for toys or You must share,† that is not realistic based on their age and level of understanding. By involving the children in setting the rules and boundaries. If the children are involved in the rule setting then they will apply it because they will always remember and obey it. If everybody agrees on the set rules and boundaries. This means they understand what they are agreeing to so therefore, they can live by it and when others are behaving inappropriately, they will let them know it is unacceptable behaviour.

Coca Cola Human Resources Suggestions Essay - 1612 Words

Coca-Cola Human Resources Suggestions Zhen Wang California Lutheran University MBA 500 Professor Mary Ann Mace Introduction Coca-Cola company was founded in 1886 and has supplied beverage to consumers for 130 years. Its global headquarter is located in Atlanta, Georgia. Now, it is the largest beverage company around the world and ranked the world’s third most valuable brand which valued at 73.1 billion dollars (â€Å"Best Global Brands 2016 Ranking,† 2016). Coca-Cola has 20 brands of their products such as Diet Coke, Coca-Cola Zero, Fanta, Sprite, Minute Maid, 18 of which are available at present. Customers have 3800 choices among beverage brands from Coca-Cola. All of these products are sold in over 200 countries, and the daily servings are more than 1.9 billion which demonstrates that Coca-Cola is the No.1 beverage supplier in the world (â€Å"Coca-Cola At A Glance: KO101 Video and Infographic,† 2016). Also, Coca-Cola has more than 700,000 system associates among branches, and ranked in top 10 private employers (â€Å"Coca-Cola At A Glance: KO10 1 Video and Infographic,† 2016). As an international leading beverage company which is one of the top 10 employers in the world, it would be complex for Coca-Cola to manage the human resources. Hence, our firm has some suggestions to help Coca-Cola improve the human resources management and solve the problems they may be faced with, such as coordinating intercultural differences, enhancing employees’ performance, and improvingShow MoreRelatedThe Success Of The Coca Cola Company1106 Words   |  5 Pagesof the Coca-Cola Company thus far and to discuss recommendations in which the company could use. These recommendation will help the company to become more environmentally friendly, more of an ethical company and therefore to create a better image for the company. I will be discussing recommendations in reference to the United Nations Global Compact principles, specifically, principles one and eight: 1. â€Å"Business should support and respect the protection of internationally proclaimed human rights;Read MoreCoca Cola Company : The World s Largest Distribution System1498 Words   |  6 Pages Coca Cola Company is the largest beverage company in the world. In order to service global demand, Coca Cola Company has the world’s largest distribution system. Its brand is worth one of the most valuable in the world as well. It has very strong market orientation, to make strategic decisions and take action so that more customers will be attracted, also to satisfy and retain customers. However, after World War 2, Pepsi Company became its serious competitor when it came up with the idea to sellRead MoreInternal And External Triggers, Resistance For Organisational Change1373 Words   |  6 PagesInternal triggers To begin with internal triggers, it is happened in marketing, human resource, financial and operations. Take an example from Coca-cola to introduce human resources triggers, â€Å"The Coca-Cola Company today announced a new operating structure and the senior leaders for those businesses.† (Coca-cola company, 2013.) The change of senior manager or top management team are usually a factor in human resource. In this case, the different manager may have a different leadership style or bringRead MoreCross Cultural Practices And Internationalization1586 Words   |  7 Pages CROSS-CULTURAL PRACTICES AND INTERNATIONALIZATION The Case of Coca Cola Amatil â€Æ' Table of Contents Introduction 2 Overview of the Company 3 Results of the Survey 4 â€Å"14 Principles† at the Company 4 Internationalization and Sustainability 7 Cross-Cultural Awareness Policies of the Company 9 Impact of Policies on Management Processes 11 Strengths and Weaknesses of the Company 12 Discussion and Analysis of the Company 13 Roles and Responsibilities of Top, Middle and First-Line Managers 13 Process andRead MoreCreating A Cross Cultural Competence1514 Words   |  7 Pagesselected for application of theory is Coca Cola Amatil. As of December, 2014, there had been employment of 14,700 employees by Coca Cola Amatil across six countries of the Asia- Pacific area. The organization has been identified as the bottler for products of Coca Cola across Samoa, Fiji, Papua New Guinea, Indonesia, New Zealand and Australia. The company has been listed across the Securities Exchange of Australia, having a shareholding of 29 per cent in Coca Cola Amatil, as it is done with each andRead MoreCoca-Cola Company Human Resource Management System Analyze3231 Words   |  13 PagesIntroduction of Coca-Cola Coco-cola Company is the largest soft drink company in the world. Coca-Cola owns the whole world 48% marketplace occupation ratio. It has employment of more than 2 million workers. History The first Coca-Cola recipe was invented in Columbus, Georgia at a drugstore by John Smith Pemberton in 1885. In 1892, Candler incorporated a second company, the Coca-Cola Company (the current corporation). In 1928, Coca-Cola set the first branch in Shanghai, China. Coca-Cola in China TheRead MoreCoca Cola in India3339 Words   |  14 PagesCultural Impact on Business: A Case Study on Coca Cola’s Cultural Issues in India admin August 20, 2012 Blog No comments Socio Cultural barriers faced by coca cola in India Coca – cola, the world’s largest selling soft drink company had established its strong presence in the world since 1886. Coca-Cola is the first international soft drink brand to enter the Indian market in the early 1970’s. Till 1977 Coca-Cola was the leading brand in India; later, due to FERA (Foreign Exchange RegulationRead MoreCoca-Cola Performance Appraisal2480 Words   |  10 Pagesassignment, is to study Coca-Cola to evaluate the Coca-Cola with the Performance Management and Appraisal. First, this assignment write about the definition of the Performance Management and Appraisal, after that will explain methods of evaluation will not only cover traditional mended but also modern method, it will ensure this assignment will get a picture what the current environmental of the Coca-Cola Second, will introduction background of the organization which is Coca-Cola. Then will be describeRead MoreCoca-Cola Performance Appraisal2507 Words   |  11 Pagesassignment, is to study Coca-Cola to evaluate the Coca-Cola with the Performance Management and Appraisal. First, this assignment write about the definition of the Performance Management and Appraisal, after that will explain methods of evaluation will not only cover traditional mended but also modern method, it will ensure this assignment will get a picture what the current environmental of the Coca-Cola Second, will introduction background of the organization which is Coca-Cola. Then will be describeRead More Coca Colas Human Resources Essay3827 Words   |  16 Pagesbusiness manages human resources. I should show the importance of the human resources management to the business, providing a comprehensive overview of all four of the following functions and focussing in depth on one of the functions: * Human resources planning * Recruitment and selection * Training and development * Performance management I am going to relate my human resource coursework to UK Coca Cola London-Edmonton branch and explain in depth how human resource is managed there

The Physics Of Chemical Kinetics - 1921 Words

Investigations into the mechanics of chemical kinetics can reveal invaluable information relating to the rates of reaction. There are numerable applications of reaction rates, knowledge in this area is pivotal for industrial, commercial and research sectors. Thus, allowing them the ability to manipulate a variety of factors of chemical reactions with the use of reaction rates. In the scope of the kinetics of clock reactions, there is a range of information that can be obtained about reaction rates (Shakhashiri, 1992). A clock reaction is characterised by an abrupt colour change following an established time lag (Lente et al, 2007). The induction period in a clock reaction is a result of low concentrations of the clock chemical (i.e. the chemical that enables the final reaction). The induction period ends after the total consumption of a limiting reagent, which initiates a short increase in the rate of product formation, resulting in a visible colour change (Schmitz, 2010)(Lente et al, 2007). The reaction rate of clock reactions is subject to factors including temperature, concentration, catalysis and inhibition. These factors can be manipulated, thus changing the length of the induction period in a ‘clock-like’ manner (Shakhashiri, 1992). Changes in the rate of reaction can be described in terms of chemical equilibrium. â€Å"Chemical equilibrium is a state in which the forward and reverse reactions take place at the same rate† (Wilbraham et al, 2002). The relativeShow MoreRelatedPhysical Science: Heat1126 Words   |  4 Pagesare different. A discussion concerning the various properties of a substance that determine its heat capacity is followed by a description of some of the various sources of heat. 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There are six forms of energy: mechanical, chemical, electrical, light, thermal, and sound energy. Another form of energy is nuclear energy. Mechanical energy is the energy of movement. Chemical energy is energy that is storedRead MoreTaking a Closer Look at Phisics948 Words   |  4 Pages Physics. Not something you really hear every day. It’s not something you really want to hear either, right? Why is it that when we hear the word physics, it’s just a major turnoff. People may even hear the word and just think â€Å"get me out of here†, even though they may not have the slightest clue of what it’s about. Some people do have a slight clue and think molecules or gravity, atoms or Bohr, laws or life, and still may not quite grasp it, but at least have a slight clue. 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French Revolution Book Analysis - 1874 Words

The King’s Flight: A Revolutionary Run When analyzing the French Revolution, the idea of political transformation and citizen involvement play a huge role in actually understanding how the revolution altered from enlightened conversations in salons to its completion, resulting from the French â€Å"voice† uniting to halt The Terror that Paris had become. Reflecting back on this event, historians still debate on the specific moment this aristocratic revolution of 1789 turned into the blood-bath radical revolution due to the momentum and contingency that each event has on the overall Revolution. The two authors, Jeremy Popkin, and Timothy Tackett, explain their historical opinion on this period of French history, in which both share a similar†¦show more content†¦The published letter of the king’s reasoning for departure also served the public with rage, and, â€Å"equally significant for the future of the Revolution was the dramatic change in attitude to ward the king†¦everything was transformed by the king’s flight.† (Tackett, 101) People in the streets of Paris were throwing out their portraits of the royal family and were seeing the king, the one they praised a week ago, as a deserter and conspirator to their newly-formed and praised government. The use of rumor and newspapers by members of The Cordelier Club also helped spread certain radical ideals in which prompted the idea of turning France into a republic, and of dissembling the monarchy and the king altogether. It was this power in the streets of Paris that would soon grow with every day after the king fled, as, â€Å"Outside the Legislative Assembly, however, the more radical revolutionaries had managed to hold the loyalty of most of the provincial club network, giving them a powerful propaganda tool.† (Popkin, 58) The National Assembly was still strong in its number of members favorable of this new constitutional monarchy, but it was in the stree ts and with the people that the actual aspect of the Revolution was shifting. 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(iii) IRead MoreThe French Revolution And The Revolution1336 Words   |  6 PagesAnalysis The French Revolution was such an important time history. Not only was it a massacre with many lives being lost, including that of Queen Marie Antoinette and her husband King Louis XVI, it was also a time of great political turmoil which would turn man against man that being the case of Edmond Burke and Thomas Paine. Edmond Burke a traditionalist who believed the people should be loyal to the king against his former friend, Thomas Paine a free thinker who believed in order for things toRead More The Tiger and The Lamb Essay1223 Words   |  5 Pageslife and to strengthen his imagination. You could find a lot of biblical discourse in his poems. By the time he was an adult his imagination allowed him to create vivid poetry and paintings; finally sending him mad. Blake published two very famous books of poems called Songs of Experience and Songs of Innocence. 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Grave matters. Essay Example For Students

Grave matters. Essay A poor scholar and the daughter of a wealthy man fall in love. But she is betrothed against her will to another, and the scholar dies in anguish. Then, on her wedding day, he returns in the form of a dybbuk- a discontented spirit of the dead that resides in the body of a living human being to possess her. Secrets of the past are revealed: The fathers of the ill-fated lovers were friends, and had promised their children to one another in marriage a promise tragically forgotten. The scholars aggrieved father, long dead, brings the wealthy man to trial from beyond the grave. An attempt is made to exorcise the dybbuk, but the bride merges her soul to his in a living death and, like an otherworldly Juliet, joins her predestined bridegroom. This is but one of many possible readings of S. Anskys The Dybbuk, a play that has sustained a ubiquitous appeal since it was first produced, in its original Yiddish, in 1914. From its most famous production, the plays Hebrew-language debut at Moscows Habimah Theatre in 1922 (with Stanislavsky, Meyerhold, Gorky and Chagall in the audience) through a variety of modern renderings (including Andrzej Wajdas staging of a Polish translation at Pepsicos Summerfare Festival in 1989, and a two-actor version, translated and adapted by British actor Bruce Myers, which toured widely throughout the U.S.), The Dybbuk has offered audiences a distinctive blend of romance, mysticism and morality. A new version of the play (cast more traditionally, with 23 actors playing 50 roles) runs through Feb. 6 at the Pittsburgh Public Theater, adapted and directed by the Publics artistic director, Edward Gilbert, as the centerpiece of his debut season. Gilberts association with the play goes back 20 years, when, as artistic director of the Manitoba Theatre Center in Canada, he commissioned an adaptation from the theatres founder, John Hirsch. Hirscha Hungarian-born Jew and Holocaust survivor for whom the plays original title, Between Two Worlds, might have had special resonance directed his own translation at Manitoba in 1974 and again the following year at the Mark Taper Forum in Los Angeles. A pledge not carried out Although Gilbert incorporates ideas from Hirschs adaptation in his own, his version hews more closely to Anskys original Yiddish text. The focus is on the fathers trial rather than the brides exorcism; what results is a surprisingly modern reading of the play, at least for one accustomed to productions that emphasize its dark undercurrent of spirituality and folklore. Anskys original carefully threads a development of plot and structures a legal argument with great precision, Gilbert explains. These were elements of the play that I think had taken a secondary place in Johns version, and I wanted to return to an enquiry that focused more closely on those aspects. The second half of the play becomes an enquiry into the nature of human responsibility when Sender, the fatherplayed in Pittsburgh by veteran actor Jack Davidson is brought to a trial on the basis of a pledge he had made and then not carried out. Although in a legal sense Sender had no obligation, he may still have had a moral or ethical obligation; the fact that you do not have a legal obligation does not let you off the hook. Your responsibility to other human beings goes beyond what the law sets down. What country is this? Designing both the sets and costumes for The Dybbuk is British designer Mark Negin, who designed the costumes for Hirschs Manitoba production 20 years ago. (In a bit of casting sure to provoke sentimental approbation, the Pittsburgh production also features George Sperdakos as the Messenger, the same part he played in Hirschs Los Angeles staging.) With Negin, Gilbert has sought to evoke the atmosphere of the most famous Jewish play ever written without overburdening the telling of the story with its historical background. .u7e4e7939ed26a85bbac698f8bb992329 , .u7e4e7939ed26a85bbac698f8bb992329 .postImageUrl , .u7e4e7939ed26a85bbac698f8bb992329 .centered-text-area { min-height: 80px; position: relative; } .u7e4e7939ed26a85bbac698f8bb992329 , .u7e4e7939ed26a85bbac698f8bb992329:hover , .u7e4e7939ed26a85bbac698f8bb992329:visited , .u7e4e7939ed26a85bbac698f8bb992329:active { border:0!important; } .u7e4e7939ed26a85bbac698f8bb992329 .clearfix:after { content: ""; display: table; clear: both; } .u7e4e7939ed26a85bbac698f8bb992329 { display: block; transition: background-color 250ms; webkit-transition: background-color 250ms; width: 100%; opacity: 1; transition: opacity 250ms; webkit-transition: opacity 250ms; background-color: #95A5A6; } .u7e4e7939ed26a85bbac698f8bb992329:active , .u7e4e7939ed26a85bbac698f8bb992329:hover { opacity: 1; transition: opacity 250ms; webkit-transition: opacity 250ms; background-color: #2C3E50; } .u7e4e7939ed26a85bbac698f8bb992329 .centered-text-area { width: 100%; position: relative ; } .u7e4e7939ed26a85bbac698f8bb992329 .ctaText { border-bottom: 0 solid #fff; color: #2980B9; font-size: 16px; font-weight: bold; margin: 0; padding: 0; text-decoration: underline; } .u7e4e7939ed26a85bbac698f8bb992329 .postTitle { color: #FFFFFF; font-size: 16px; font-weight: 600; margin: 0; padding: 0; width: 100%; } .u7e4e7939ed26a85bbac698f8bb992329 .ctaButton { background-color: #7F8C8D!important; color: #2980B9; border: none; border-radius: 3px; box-shadow: none; font-size: 14px; font-weight: bold; line-height: 26px; moz-border-radius: 3px; text-align: center; text-decoration: none; text-shadow: none; width: 80px; min-height: 80px; background: url(https://artscolumbia.org/wp-content/plugins/intelly-related-posts/assets/images/simple-arrow.png)no-repeat; position: absolute; right: 0; top: 0; } .u7e4e7939ed26a85bbac698f8bb992329:hover .ctaButton { background-color: #34495E!important; } .u7e4e7939ed26a85bbac698f8bb992329 .centered-text { display: table; height: 80px; padding-left : 18px; top: 0; } .u7e4e7939ed26a85bbac698f8bb992329 .u7e4e7939ed26a85bbac698f8bb992329-content { display: table-cell; margin: 0; padding: 0; padding-right: 108px; position: relative; vertical-align: middle; width: 100%; } .u7e4e7939ed26a85bbac698f8bb992329:after { content: ""; display: block; clear: both; } READ: The play An Inspector calls Argumentative EssayThe Dybbuk is a play like any other play, Gilbert insists. Not to de-emphasize its particulars, but there have been cases of possession in other cultures at other times. This has been a dramatically charged event in the life of a number of communities when they face a disturbance that they dont quite know how to deal with, a disturbance of the human psyche and the human spirit. Were even now discussing how much you have to put in the program, he goes on. The play takes you back to a very particular time and place that you cant even find on the map anymore. But I dont think you have to be able to find it or know where it is. Its like Shakespeare in Twelfth Night: What country, friend, is this? and the answer is This is Illyria, lady. You dont have to know where Illyria is; its a place of the imagination.