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• Capturing how students' abilities and teaching experiences affect teachers' beliefs about mathematics teaching and learning

  195-212

  Safrudiannur

  Benjamin Rott

  Views:

  91

  We developed an instrument to investigate the effect of students' abilities and teaching experiences on teachers' beliefs about teaching and learning of mathematics. In this pilot study, we used the instrument to measure the beliefs of 43 Indonesian math teachers and five additional teachers. Then, for further investigation, we interviewed those five additional teachers. Results from the 43 teachers' responses to the instrument show that in contrast to teachers with less than five years of teaching, teachers with more than five years elicit significantly different beliefs about mathematics teaching and learning in different contexts related to students' abilities. Teachers' reports in the further investigation indicate that teaching experiences with high and low ability students in teaching mathematics could be a possible explanation of this contrast.

  Subject Classification: C20

• Is it possible to develop some elements of metacognition in a Mathematics classroom environment?

  123-132

  Márton Kiss

  Eszter Kónya

  Views:

  63

  In an earlier exploratory survey, we investigated the metacognitive activities of 9th grade students, and found that they have only limited experience in the “looking back” phase of the problem solving process. This paper presents the results of a teaching experiment focusing on ninth-grade students’ metacognitive activities in the process of solving several open-ended geometry problems. We conclude that promoting students’ metacognitive abilities makes their problem solving process more effective.

  Subject Classification: 97D50, 97G40

• Virtual manipulatives in inquiry-based approach of 3D problems by French 5th graders

  229-240

  Ecaterina Pacurar

  Claude-Alexandre Magot

  Richard Cabassut

  Yohan Solon

  Views:

  47

  The aim of this research is to study the appropriation of a 3D environment by learners in an a-didactical situation of problem solving. We try to evaluate the relevance of the virtual 3D environment in the development of students' cognitive and metacognitive abilities. We implanted a problem-solving activity related to a 3D cube situation with an empty part in the cube in different French primary school areas in May 2019. In the experimental group each learner works individually with a PC-computer where the virtual environment ANIPPO is implemented. In the control group the pupils work in a traditional class environment. We present the results of this pre-experimentation.

  Subject Classification: 97D50, 97U60, 97U70

• The shift of contents in prototypical tasks used in education reforms

  203-219

  Karl Joseph Fuchs

  Views:

  76

  The paper discusses the shift of contents in prototypical tasks provoked by the current educational reform in Austria. The paper starts with the educational backboard of the process of changes in particular with the out tting of the students' abilities in different taxonomies and its implementation in the competence models of Mathematics. A methodological didactical point of view on the process is given additionally. Examples out of a specific collection of math problems which arise from the educational reform are integrated and analysed in the context of educational principles and methods. The discussion ends with a short evaluation of the role of traditional approaches to tasks in the ongoing reform. A bundle of tasks as proof that they are still alive is presented finally.

  Subject Classification: 97B50, 97D40, 97D50