Mathematical Knowledge for Teaching, Standards-Based Mathematics Teaching Practices, and Student Achievement in the Context of theResponsive ClassroomApproach

2015 ◽  
Vol 52 (4) ◽  
pp. 787-821 ◽  
Author(s):  
Erin R. Ottmar ◽  
Sara E. Rimm-Kaufman ◽  
Ross A. Larsen ◽  
Robert Q. Berry
2021 ◽  
Vol 15 (1) ◽  
Author(s):  
Marianne Maugesten ◽  
Reidar Mosvold ◽  
Janne Fauskanger

Matematikkundervisning stiller krav til matematikkfaglig og matematikkdidaktisk kunnskap. Mens mange forskere har studert kunnskapen lærere har, eller den kunn­skapen de bruker i undervisningen, retter denne studien fokuset mot hvilke matematiske undervisningsutfordringer som er i fokus når lærere reflekterer over egen matematikk­undervisning, og hvilke deler av den profesjonelle kunnskapsbasen de trekker inn i refleksjonene. Andretrinnslærerne i denne studien reflekterer omkring mange sentrale matematiske undervisningsutfordringer, men det matematiske fokuset i refleksjonene er ofte uklart – selv når de reflekterer over undervisningsutfordringer som stiller krav til spesialisert matematisk kunnskap. Resultatene fra studien indikerer også at lærerne ofte bruker et upresist og hverdagslig språk når de reflekterer over egen matematikk­undervisning. Nøkkelord: matematiske undervisningsutfordringer, undervisningskunnskap, tallforståelse   Mathematics teachers’ reflections about experienced tasks of teaching   Abstract Teaching requires a special content knowledge as well as pedagogical content knowledge. Whereas many studies have investigated the knowledge teachers have or use in teaching, this study investigates what mathematical tasks of teaching that are in focus when teachers reflect on their own mathematics teaching, and what aspects of the professional knowledge base they draw upon. The second grade teachers in this study reflect on several core tasks of teaching mathematics, but their reflections tend to have an unclear mathematical focus — even when they reflect upon tasks of teaching that require specialized content knowledge. The results from this study also indicate that the language teachers use to reflect on their own mathematics teaching tends to lack precision and rigor. Keywords: mathematical tasks of teaching, mathematical knowledge for teaching, number sense


Pythagoras ◽  
2006 ◽  
Vol 0 (63) ◽  
Author(s):  
Mercy Kazima ◽  
Jill Adler

In their description of the mathematical work of teaching, Ball,  Bass & Hill (2004) describe the mathematical problem solving that teachers do as they go about their work. In this paper we add to this description through our study of teaching of probability in a grade 8 multilingual classroom in South Africa. We use instances of teaching to highlight the mathematical problem solving that teachers might face as they work with learners’ ideas, both expected and unexpected. We discuss  the restructuring of tasks as an inevitable feature of teachers’ work, and argue that in addition to scaling up or scaling down of the task as Ball et al. (2004) describe, restructuring can also entail shifting the mathematical outcomes from those intended. We also point out how well known issues in mathematics education, for example working with learners’ everyday knowledge, and the languages they bring to class, are highlighted by the context of probability, enabling additional insights into the mathematical work of teaching.


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