EducationMathematics EducationTeacher EducationElementary Mathematics EducationMathematics InstructionPedagogyMathematical KnowledgeMathematical ReasoningMathematics Diagnostic AssessmentMathematics PedagogyProblem SolvingProblem-solving AssessmentMathematical Knowledge For TeachingMathematical Problem SolvingMathematical Problem Solving AssessmentMathematics Teacher PreparationPedagogical Knowledge AssessmentsPre-service Teacher EducationProblem-solving Diagnosis
The paper focuses on problem posing as the possible method leading to development of pedagogical content knowledge of mathematics education in pre-service training of primary school teachers. In the background there is our belief that this knowledge is of utter importance for quality of the education process. Using samples of (a) problems posed by teacher students, (b) students' assessment of the problems posed, (c) students' opinions on the significance of "problem posing" in teacher training, we demonstrate how we employed problem posing in pre-service teacher training. We proved in our previous work that an analysis of the posed problems is a good diagnostic tool; it gives the opportunity to discover the level of understanding as well as the causes of misconceptions and errors.
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Those Who Understand: Knowledge Growth in Teaching
Lee S. Shulman · Educational Researcher · 1986 · 18.1K citations · Full text
On Mathematical Problem Posing.
Edward A. Silver · for the learning of mathematics · 1994 · 604 citations
Merlyn J. Behr, Richard Lesh, Thomas R. Post et al. · 1983 · 392 citations