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Marmur, Ofer; Koichu, Boris – Mathematical Thinking and Learning: An International Journal, 2023
This paper explores student emotion and learning experiences fostered by lecturing-style instruction in Real-Analysis problem-centered lessons. We focus on two lessons that were taught by two reputable instructors and involved challenging, mathematically-related problems the students did not understand. Nonetheless, one lesson evoked negative…
Descriptors: Heuristics, Discourse Analysis, Recall (Psychology), Correlation
Koichu, Boris; Pinto, Alon – Canadian Journal of Science, Mathematics and Technology Education, 2018
This theoretical article explores an issue of developing education research competencies in mathematics teachers through their involvement in mathematics education research. We first argue that the development of education research competencies is beneficial for the teachers' professional growth. We then identify opportunities for mathematics…
Descriptors: Educational Research, Mathematics Education, Mathematics, Mathematics Teachers
Koichu, Boris; Berman, Abraham; Moore, Michael – Instructional Science: An International Journal of the Learning Sciences, 2007
The relationships between heuristic literacy development and mathematical achievements of middle school students were explored during a 5-month classroom experiment in two 8th grade classes (N = 37). By heuristic literacy we refer to an individual's capacity to use heuristic vocabulary in problem-solving discourse and to approach scholastic…
Descriptors: Middle School Students, Mathematics Education, Heuristics, Aptitude Tests
Kontorovich, Igor; Koichu, Boris; Leikin, Roza; Berman, Avi – Journal of Mathematical Behavior, 2012
The paper introduces an exploratory framework for handling the complexity of students' mathematical problem posing in small groups. The framework integrates four facets known from past research: task organization, students' knowledge base, problem-posing heuristics and schemes, and group dynamics and interactions. In addition, it contains a new…
Descriptors: Group Dynamics, Mathematical Models, Heuristics, Interaction
Koichu, Boris – International Journal of Mathematical Education in Science and Technology, 2010
This article discusses an issue of inserting mathematical knowledge within the problem-solving processes. Relatively advanced mathematical knowledge is defined in terms of "three mathematical worlds"; relatively advanced problem-solving behaviours are defined in terms of taxonomies of "proof schemes" and "heuristic behaviours". The relationships…
Descriptors: Mathematics Education, Problem Solving, Calculus, Knowledge Level
Koichu, Boris; Berman, Abraham; Moore, Michael – For the Learning of Mathematics, 2004
Applying and adapting a variety of appropriate heuristic strategies is one of the accepted standards of problem solving (NCTM, 2000). Thinking through a solution to a non-routine mathematical task, experts in problem solving call into play many sophisticated strategies (almost) without conscious efforts, while novices need to be taught how to do…
Descriptors: Heuristics, Mathematics Instruction, Classroom Techniques, Problem Solving
Koichu, Boris – PNA, 2014
An iterative unpacking strategy consists of sequencing empirically-based theoretical developments so that at each step of theorizing one theory serves as an overarching conceptual framework, in which another theory, either existing or emerging, is embedded in order to elaborate on the chosen element(s) of the overarching theory. The strategy is…
Descriptors: Social Networks, Problem Solving, Heuristics, Mathematics Education