Kitcher’s idea of ‘explanatory unification’, while originally proposed in the philosophy of science, may also be relevant to mathematics education, as a way of enhancing student thinking and achieving classroom activity that is closer to authentic mathematical practice. There is, however, no mathematics education research treating explanatory unification in detail. In this article, we address this issue by illustrating explanatory unification of statements by proofs with a classroom episode involving an 8th grade class tackling ‘star polygon’ tasks. Based on analysing this episode, we suggest that another benefit of explanatory unification in mathematics education is in fostering mathematical understanding
In the United States, students' learning experiences around proof is generally concentrated in the d...
International audienceWe report on an ongoing project in a cross-level topology course, where studen...
In this paper we consider proving to be the activity in search for a proof, whereby proof is the fin...
This is the final version of the article. Available from FLM Publishing Association via the link in ...
Mathematics clearly plays an important role in scientific explanation. Debate continues, however, ov...
Abstract. Since two decades, mathematical proof has been at the core of an active debate in the comm...
The National Council of Teachers of Mathematics, a US based teachers association, strongly encourage...
This paper investigates conceptions of mathematical investigation and proof inupper-secondary studen...
Abstract In the last decade, the debate on mathematical proof has got a central position in the co...
The fact that proofs can convey new mathematical techniques to students effectively, as shown in rec...
ArticleProceedings of the 13th International Congress on Mathematical Education (ICME-13).Hamburg, G...
This qualitative study reports on high school mathematics teachers\u27 understandings of mathematica...
Proof is a fundamental component of mathematics and so, in my opinion, it should be part of mathemat...
This study is a micro-ethnography describing the students\u27 perspective of learning proof in high ...
Recent reforms in mathematics education have led to an increased emphasis on proof and reasoning in ...
In the United States, students' learning experiences around proof is generally concentrated in the d...
International audienceWe report on an ongoing project in a cross-level topology course, where studen...
In this paper we consider proving to be the activity in search for a proof, whereby proof is the fin...
This is the final version of the article. Available from FLM Publishing Association via the link in ...
Mathematics clearly plays an important role in scientific explanation. Debate continues, however, ov...
Abstract. Since two decades, mathematical proof has been at the core of an active debate in the comm...
The National Council of Teachers of Mathematics, a US based teachers association, strongly encourage...
This paper investigates conceptions of mathematical investigation and proof inupper-secondary studen...
Abstract In the last decade, the debate on mathematical proof has got a central position in the co...
The fact that proofs can convey new mathematical techniques to students effectively, as shown in rec...
ArticleProceedings of the 13th International Congress on Mathematical Education (ICME-13).Hamburg, G...
This qualitative study reports on high school mathematics teachers\u27 understandings of mathematica...
Proof is a fundamental component of mathematics and so, in my opinion, it should be part of mathemat...
This study is a micro-ethnography describing the students\u27 perspective of learning proof in high ...
Recent reforms in mathematics education have led to an increased emphasis on proof and reasoning in ...
In the United States, students' learning experiences around proof is generally concentrated in the d...
International audienceWe report on an ongoing project in a cross-level topology course, where studen...
In this paper we consider proving to be the activity in search for a proof, whereby proof is the fin...