The studies presented in this book should be of interest to anybody concerned with the teaching of arithmetic to young children or with cognitive development in general. The 'eaching experiment· was carried out with half a dozen children entering first grade over two years in biweekly sessions. Methodologically the authors' research is original. It is a longitudinal but not a naturalistic study, since the experimenter-teachers directed their interaction with each individual child with a view to his or her possible progress. It is experimental in the sense that two groups of subjects were selected according to criteria derived from an earlier study (Steffe, von Glasersfeld, Richards &amp; Cobb, 1983) and that the problems proposed were comparable, though far from identical across the subjects; but unlike more rigid and shorter "learning" or ''training" studies it does not include pre-and posttests, or predetermined procedures. Theoretically, the authors subscribe to Piagefs constructivism: numbers are made by children, not found (as they may find some pretty rocks, for example) or accepted from adults (as they may accept and use a toy). The authors interpret changes in the children's counting behaviors in terms of constructivist concepts such as assimilation, accommodation, and reflective abstraction, and certain excerpts from protocols provide on-line examples of such processes at work. They also subscribe to Vygotsky's proposal for teachers '0 utilize the zone of proximal development and to lead the child to what he (can) not yet do· (1965, p. 104).

Construction of Arithmetical Meanings and Strategies (Recent Research in Psychology)

Health, Fitness & Dieting

Cobb, Paul

Steffe, Leslie P.

Psychology & Counseling

Springer

Symbolizing and Communicating in Mathematics Classrooms: Perspectives on Discourse, Tools, and Instructional Design

Routledge

This account explores this battle which for many epitomises the futility of the Great War. In the few hours in which it took place many heroic deeds were done but the battle caused a souring of Anglo-Australian relationships and truly was a baptism of fire for these British and Australian troops.

Fromelles 1916

History

Military

The History Press

Rethinking Elementary School Mathematics: Insights and Issues (JOURNAL FOR RESEARCH IN MATHEMATICS EDUCATION MONOGRAPH)

Wood, Terry

Yackel, Erna

Reference

Natl Council of Teachers of

Number 12 in NCTM's Journal for Research in Mathematics Education monograph series, this publication describes a design experiment that focused on linear measurement and was conducted in a first-grade class. Its chapters explore three themes that concern design researchers: the relation between the development of instructional designs and the analysis of students' learning, the relation between communal classroom processes and individual students' reasoning and the role of tools in supporting development.

Supporting Students' Development of Measuring Conceptions: Analyzing Students' Learning in Social Context (JOURNAL FOR RESEARCH IN MATHEMATICS EDUCATION MONOGRAPH)

Stephan, Michelle

Bowers, Janet

Theories of Mathematical Learning

Greer, Brian

Nesher, Pearla

Sriraman, Bharath

Taylor&Francis

Systems for Instructional Improvement: Creating Coherence from the Classroom to the District Office

In Systems for Instructional Improvement, Paul Cobb and his colleagues draw on their extensive research to propose a series of specific, empirically grounded recommendations that together constitute a theory of action for advancing instruction at scale. The authors outline the elements of a coherent instructional system; describe productive practices for school leaders in supporting teachers’ growth; and discuss the role of district leaders in developing school-level capacity for instructional improvement. Based on the findings of an eight-year research-practice partnership with four large urban districts investigating their efforts to enhance middle school math instruction, the authors seek to bridge the gap between the literature on improving teaching and learning and the literature on policy and leadership. They look at the entire education system and make recommendations on improvement efforts with a focus on student learning and teachers’ instructional vision. In particular, the authors offer insights on the interplay among various supports for teacher learning, including pullout professional development, coaching, collaborative inquiry, the most instructionally productive uses of principals’ time, and the tensions that tend to emerge at the district level. They provide a guide for district-level leaders in organizing their work to support significant teacher learning. Systems for Instructional Improvement provides an invaluable resource for school and district leaders, while outlining a clearly focused agenda for future research.

Education & Teaching

Jackson, Kara

Henrick, Erin

Smith, Thomas M.

Schools & Teaching

Harvard Education Press

In Systems for Instructional Improvement, Paul Cobb and his colleagues draw on their extensive research to propose a series of specific, empirically grounded recommendations that together constitute a theory of action for advancing instruction at scale. The authors outline the elements of a coherent instructional system; describe productive practices for school leaders in supporting teachers' growth; and discuss the role of district leaders in developing school-level capacity for instructional improvement. Based on the findings of an eight-year research-practice partnership with four large urban districts investigating their efforts to enhance middle school math instruction, the authors seek to bridge the gap between the literature on improving teaching and learning and the literature on policy and leadership. They look at the entire education system and make recommendations on improvement efforts with a focus on student learning and teachers' instructional vision. In particular, the authors offer insights on the interplay among various supports for teacher learning, including pullout professional development, coaching, collaborative inquiry, the most instructionally productive uses of principals' time, and the tensions that tend to emerge at the district level. They provide a guide for district-level leaders in organizing their work to support significant teacher learning. Systems for Instructional Improvement provides an invaluable resource for school and district leaders, while outlining a clearly focused agenda for future research.

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