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Eric.ed.gov – The Math Student/The Math Teacher/The Math Problem.

eric.ed.gov har udgivet: In an examination of the problem of national mathematical illiteracy, the math student, the math teacher, and the math problem are discussed. The math student may have defects, deficiencies, disruptions, and/or differences in the cognitive abilities required to perform a mathematical problem. The math teacher may tend to be less verbal and less socially responsive than other teachers. Math teachers also may have internalized mathematical reasoning and its accompanying numerical coding and notation so that they can hardly understand the primitive state of most students and many adults and thus students tend not to question, but instead accept math as a closed system. The math word problem poses a barrier to learning because of the new words and notations and the complex language and terse sentences. An… Continue Reading

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Eric.ed.gov – Problem Solving: How Do In-Service Secondary School Teachers of Mathematics Make Sense of a Non-Routine Problem Context?

eric.ed.gov har udgivet: The concept of mathematical problem solving is an important mathematical process in mathematics curricula of education systems worldwide. These math curricula demand that learners are exposed to authentic problems that foster successful problem solving. To attain this very important goal, there must be mathematics teachers well versed in content and the pedagogy of problem solving. This study investigated problem solving process of in-service secondary school teachers in a non-routine problem context. Teachers? written responses were examined based on Polya?s problem solving theory to elucidate their disposition in relation to the problem context. Findings suggest that the in-service teachers exhibit (1) greater lack of understanding of the non-routine problem, (2) insufficient capacity to select appropriate heuristic strategies, and (3) total failure to reach the final “look back” stage.… Continue Reading

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Eric.ed.gov – Improving Problem Posing Capacities through Inservice Teacher Training Programs: Challenges and Limits

eric.ed.gov har udgivet: The paper presents the results of a study based on a training program for in-service mathematics teachers, targeting to improve their skills of problem posing and qualitative appreciation of problems. During this training program, we found an improvement in participating teachers’ availability to discuss and analyse math problems, but also resistance to adapt posed tasks to the students’ thinking. [For the complete proceedings, see ED597799.] Link til kilde

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Eric.ed.gov – Professional Development through Technology-Integrated Problem Solving: From InterMath to T-Math

eric.ed.gov har udgivet: The ability to integrate technology into instruction is among the characteristics of a competent mathematics teacher. Research indicates that the vast majority of teachers in Turkey believe the use of computers in education is important, but have limited knowledge and experience on how to use technology in their instruction. This paper describes the T-Math project (http://www.t-math.org), which adapted the InterMath (http://intermath.coe.uga.edu) knowledge base for mathematics teachers in the United States and developed relevant resources for professional development of Turkish mathematics teachers to guide them in constructing useful strategies for their students while developing as expert mathematics teachers. Examples of mathematical investigations adopted and developed in the T-Math project are presented as well as the anticipated challenges and subsequent strategies for integration. (Contains 7 figures.) Link til kilde

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Eric.ed.gov – How Did You Solve It? — Teachers’ Approaches to Guiding Mathematics Problem Solving

eric.ed.gov har udgivet: This case study focuses on teachers’ actions during problem-solving lessons. The aim of this study was to find out how teachers guide students during mathematics problem-solving lessons: What kinds of questions do teachers ask? How do students arrive at solutions to problems? The dataset contained videotaped fourthgrade math lessons in which students solved a mathematical problem. The research reveals that teachers can guide students in numerous ways and possibly in ways that prevent students from searching for their own solution strategies. For this reason, problem-solving exercises alone are not sufficient for teaching problem solving for students, teachers must also be instructed in how to properly guide students. In the conclusion section, we discuss the types of questions that enable teachers to promote active learning in students, which… Continue Reading

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Eric.ed.gov – Riding an Emotional Roller-Coaster: A Multimodal Study of Young Child’s Math Problem Solving Activities

eric.ed.gov har udgivet: Solving challenging math problems often invites a child to ride an “emotional roller-coaster” and experience a complex mixture of emotions including confusion, frustration, joy, and surprise. Early exposure to this type of “hard fun” may stimulate child’s interest and curiosity of mathematics and nurture life long skills such as resilience and perseverance. However, without optimal support, it may also turn off child prematurely due to unresolved frustration. An ideal teacher is able to pick up child’s subtle emotional signals in real time and respond optimally to offer cognitive and emotional support. In order to design an intelligent tutor specifically designed for this purpose, it is necessary to understand at fine-grained level the child’s emotion experience and its interplay with the inter-personal communication dynamics between child and his/her… Continue Reading

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tandfonline.com – Mathematical problem solving in textbooks from twelve countries

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT Formulae display:?Mathematical formulae have been encoded as MathML and are displayed in this HTML version using MathJax in order to improve their display. Uncheck the box to turn MathJax off. This feature requires Javascript. Click on a formula to zoom. ABSTRACT A selection of secondary school mathematics textbooks from twelve countries on five continents was analysed to better understand the support they might be in teaching and learning mathematical problem solving. Over 5700 tasks were compared to the information provided earlier in each textbook to determine whether each task could be solved by mimicking available templates or whether a solution had to be constructed without guidance from the textbook. There were similarities between the twelve textbooks in the sense… Continue Reading

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Eric.ed.gov – Argumentation in Undergraduate Math Courses: A Study on Problem Solving

eric.ed.gov har udgivet: The purpose of this study is to analyze the complex argumentative structure in undergraduate mathematics classroom conversations during problem solving by taking into consideration students’ and teacher’ utterances in the classroom using field-independent Toulmin’s theory of argumentation. Analyzing students’ and teacher’ utterances in the class allowed us to reconstruct argumentations evolving in the classroom talk as argumentations in classrooms are generally teacher guided. The analyses contributed to an emerging body of research on classroom conversations. [For the complete proceedings, see ED597799.] Link til kilde

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tandfonline.com – Reasoning Under Uncertainty: Maximum Likelihood Heuristic in a Problem With a Random Transfer

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: Abstract Formulae display:?Mathematical formulae have been encoded as MathML and are displayed in this HTML version using MathJax in order to improve their display. Uncheck the box to turn MathJax off. This feature requires Javascript. Click on a formula to zoom. Abstract The aim of this study is to explore the judgments and reasoning in probabilistic tasks that require comparing two probabilities either with or without introducing an additional degree of uncertainty. The reasoning associated with the task having an additional condition of uncertainty has not been discussed in previous studies. The 66 undergraduate students, participants in this study, used an analytic process for the task without an additional condition of uncertainty and a heuristic for the task with it.… Continue Reading

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Eric.ed.gov – The Tail of a Whale: A Real-World Problem for the Maths Classroom

eric.ed.gov har udgivet: Southern Cross University (SCU) educators and local teachers have developed a five-lesson instructional sequence built around fluke identification as a way of resolving the question: How fast do humpback whales travel up the east coast of Australia? Link til kilde