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Review of literature on self efficacy of teachers
Review of literature on self efficacy of teachers
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Literature Review
In the early 1990’s, Kathy Richardson and Ruther Parker began working with teachers in professional development sessions. Both thought about how to develop students’ understanding by working with concrete models to build numbers and figure out computational problems using models (at least until models were not longer needed). What later developed and was refined is now referred to as number talks. Number talks began in the North Kansas City School District’s (NKCSD) elementary school in various stages through the math curriculum Math Solutions. Number talks have been installed in the daily schedule in elementary schools throughout the district at all grade levels for two consecutive years. While there are formative and summative
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While students clarify their own thinking and expose their strategies to each other during number talks, it may convince fellow students that they too can conquer hard math problems when others are using the same efficient strategies. Students are able to compare their performance past and present to others and this self-comparative information is another type of vicarious experience capable of altering people’s self-efficacy (Usher and Pajares, 2009).
Educators play a key role in assisting young individuals as they build upon experiences that develop self-efficacy. Teachers who are able to create experiences in which students feel successful may truly develop lifelong learners. Number talks is designed and laid out in a manner to increase the probability that students feel successful. In number talks, wrong answers are used as opportunities to unearth misconceptions and for students to investigate their thinking and learn from their mistakes (Parrish,
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This motivation can be defined as a desire to be involved with learning activities. Some variables that effect motivation are self-efficacy (beliefs about own abilities to complete learning task in a certain circumstance), intrinsic value (perception of the value of learning task in relation to his or her interest) interest, and goal setting. Student motivation can also be different depending on the quantity and quality of social presence (Borup, Graham, & Davis, 2012; Shea & Bidjerano, 2010). Students must feel a sense of belonging and of control, as they are an essential part of their own
Prekindergarten instructional games and activities can be used to increase the students understanding of number invariance. Using dice games, rectangular arrays, and number puzzles would be an effective method of presenting subitizing to this grade level. In addition to visual pattern, these young students would benefit from auditory and kinesthetic patterns as well.
Van de Walle, J., , F., Karp, K. S., & Bay-Williams, J. M. (2010). Elementary and middle school mathematics, teaching developmentally. (Seventh ed.). New York, NY: Allyn & Bacon.
“Motivation is a complex part of human psychology and behavior that influences how individuals choose to invest their time, how much energy they exert in any given task, how they think and feel about the task, and how long they persist at the task” (Urdan & Schoenfelder, 2006). The biggest question educators face in today’s classroom is what motivates a student to do something and why? Virtually all students are motivated in one way or another. Research of student motivation suggests a theory that emphasizes a social-cognitive perspective. The cognition of students regarding academic work are influenced by social factors, such as messages from the teacher about the difficulty of the task, the perceived abilities of classmates, and the information about the importance of learning the material (Urdan & Schoenfelder, 2006). In this paper the focus will primarily be on those elements within the classroom that influence student motivation and engagement.
The second part of this memo contains a rhetorical analysis of a journal article written by Linda Darling-Hammond. Interview The following information was conducted in an interview with Diana Regalado De Santiago, who works at Montwood High School as a mathematics teacher. In the interview, Regalado De Santiago discusses how presenting material to her students in a manner where the student actually learns is a pivotal form of communication in the field (Personal Communication, September 8, 2016).
Barr, C., Doyle, M., Clifford, J., De Leo,T., Dubeau, C. (2003). "There is More to Math: A Framework for Learning and Math Instruction” Waterloo Catholic District School Board
“Motivation is the process whereby goal-orientated activity is instigated and sustained” (Schunk, Pintrich & Meece, 2008. As cited in Eggen & Kauchak, 2010, p.284). Motivation comes in many forms and can be divided into two broad categories - extrinsic and intrinsic motivation. Extrinsic motivators are external factors which can motivate a student; rewards are an example of this. An issue with extrinsic motivators is that the desire for the learner to participate often lessens, once the rewards are withdrawn (McCullers, 1987). On the other hand intrinsic motivation comes from within - learning for the joy of it - where the desire to learn leads to a higher level of knowledge, and is a reward in itself. Kohn (1996, p.285) states that research suggests, “Rewards actually decrease interest in intrinsically motivating tasks, therefore sending the wrong message about learning” (as cited in Eggen & Kauchak, 2010a)
Children can enhance their understanding of difficult addition and subtraction problems, when they learn to recognize how the combination of two or more numbers demonstrate a total (Fuson, Clements, & Beckmann, 2011). As students advance from Kindergarten through second grade they learn various strategies to solve addition and subtraction problems. The methods can be summarize into three distinctive categories called count all, count on, and recompose (Fuson, Clements, & Beckmann, 2011). The strategies vary faintly in simplicity and application. I will demonstrate how students can apply the count all, count on, and recompose strategies to solve addition and subtraction problems involving many levels of difficulty.
Mathematical dialogue within the classroom has been argued to be effective and a ‘necessary’ tool for children’s development in terms of errors and misconceptions. It has been mentioned how dialogue can broaden the children’s perception of the topic, provides useful opportunities to develop meaningful understandings and proves a good assessment tool. The NNS (1999) states that better numeracy standards occur when children are expected to use correct mathematical vocabulary and explain mathematical ideas. In addition to this, teachers are expected
Countless time teachers encounter students that struggle with mathematical concepts trough elementary grades. Often, the struggle stems from the inability to comprehend the mathematical concept of place value. “Understanding our place value system is an essential foundation for all computations with whole numbers” (Burns, 2010, p. 20). Students that recognize the composition of the numbers have more flexibility in mathematical computation. “Not only does the base-ten system allow us to express arbitrarily large numbers and arbitrarily small numbers, but it also enables us to quickly compare numbers and assess the ballpark size of a number” (Beckmann, 2014a, p. 1). Addressing student misconceptions should be part of every lesson. If a student perpetuates place value misconceptions they will not be able to fully recognize and explain other mathematical ideas. In this paper, I will analyze some misconceptions relating place value and suggest some strategies to help students understand the concept of place value.
To investigate the notion of numeracy, I approach seven people to give their view of numeracy and how it relates to mathematics. The following is a discussion of two responses I receive from this short survey. I shall briefly discuss their views of numeracy and how it relates to mathematics in the light of the Australian Curriculum as well as the 21st Century Numeracy Model (Goos 2007). Note: see appendix 1 for their responses.
Kirova, A., & Bhargava, A. (2002). Learning to guide preschool children's mathematical understanding: A teacher's professional growth. 4 (1), Retrieved from http://ecrp.uiuc.edu/v4n1/kirova.html
...S. and Stepelman, J. (2010). Teaching Secondary Mathematics: Techniques and Enrichment Units. 8th Ed. Merrill Prentice Hall. Upper Saddle River, NJ.
Student motivation can be affected by several factors. These elements include parent involvement, teacher enthusiasm, rewards, peers, the learner’s environment, personal experiences, personal interests of the student, and self-esteem and self-image.
Allowing children to learn mathematics through all facets of development – physical, intellectual, emotional and social - will maximize their exposure to mathematical concepts and problem solving. Additionally, mathematics needs to be integrated into the entire curriculum in a coherent manner that takes into account the relationships and sequences of major mathematical ideas. The curriculum should be developmentally appropriate to the
One contributing factor towards student success is student motivation. Motivation is reading unassigned books out of class that relate to the class subject matter, just to expand his or her knowledge. The need or want type of actions a persons’ mentality is, to reach a personal goal or objective of some sort. People’s motivational purpose in school can range from, higher earning potential, more job stability, greater benefits, and even just to gain more knowledge. In a YouTube video entitled “The Surprising Truth about What Motivates Us” by Dan Pink, he suggests that three elements: purpose, mastery, and autonomy play a part towards true motivation. Autonomy is ones self-drive, while