Inductive Reasoning in the Secondary Classroom

Inductive Reasoning in the Secondary Classroom
Author: Gloria A. Neubert
Publisher: National Education Association
Total Pages: 132
Release: 1992
Genre: Education
ISBN:

It has been alleged that few American students can use their knowledge effectively in thinking and reasoning. This study urges teachers to give more attention to student abilities in analyzing, classifying, comparing, formulating hypotheses, and drawing conclusions--that is, thinking skills essential to reasoning processes. Designed to familiarize secondary classroom teachers with one model of instruction for developing students' reasoning abilities, this book gives practical assistance in learning how to use the inductive approach, a teaching approach that actively involves students in the use of their own reasoning while learning content area material. Each chapter of the book includes a section that asks readers to recall experience pertinent to the material in the chapter, a set of questions to answer as the material is read, and a series of activities designed to lead readers through the developmental stages of the learning process. Chapters of the book are: (1) What is the inductive approach? (2) Why use the inductive approach? (3) How to use the inductive approach for concept development; (4) How to use the inductive approach for principle formation; (5) Inductive reasoning in English; (6) Inductive reasoning in mathematics; (7) Inductive reasoning in science; and (8) Inductive reasoning in social studies. A 90-item bibliography is attached. (RS)

Teaching Mathematical Reasoning in Secondary School Classrooms

Teaching Mathematical Reasoning in Secondary School Classrooms
Author: Karin Brodie
Publisher: Springer Science & Business Media
Total Pages: 231
Release: 2009-10-08
Genre: Education
ISBN: 0387097422

For too many students, mathematics consists of facts in a vacuum, to be memorized because the instructor says so, and to be forgotten when the course of study is completed. In this all-too-common scenario, young learners often miss the chance to develop skills—specifically, reasoning skills—that can serve them for a lifetime. The elegant pages of Teaching Mathematical Reasoning in Secondary School Classrooms propose a more positive solution by presenting a reasoning- and discussion-based approach to teaching mathematics, emphasizing the connections between ideas, or why math works. The teachers whose work forms the basis of the book create a powerful record of methods, interactions, and decisions (including dealing with challenges and impasses) involving this elusive topic. And because this approach shifts the locus of authority from the instructor to mathematics itself, students gain a system of knowledge that they can apply not only to discrete tasks relating to numbers, but also to the larger world of people and the humanities. A sampling of the topics covered: Whole-class discussion methods for teaching mathematics reasoning. Learning mathematical reasoning through tasks. Teaching mathematics using the five strands. Classroom strategies for promoting mathematical reasoning. Maximizing student contributions in the classroom. Overcoming student resistance to mathematical conversations. Teaching Mathematical Reasoning in Secondary School Classrooms makes a wealth of cutting-edge strategies available to mathematics teachers and teacher educators. This book is an invaluable resource for researchers in mathematics and curriculum reform and of great interest to teacher educators and teachers.

How People Learn

How People Learn
Author: National Research Council
Publisher: National Academies Press
Total Pages: 386
Release: 2000-08-11
Genre: Education
ISBN: 0309131979

First released in the Spring of 1999, How People Learn has been expanded to show how the theories and insights from the original book can translate into actions and practice, now making a real connection between classroom activities and learning behavior. This edition includes far-reaching suggestions for research that could increase the impact that classroom teaching has on actual learning. Like the original edition, this book offers exciting new research about the mind and the brain that provides answers to a number of compelling questions. When do infants begin to learn? How do experts learn and how is this different from non-experts? What can teachers and schools do-with curricula, classroom settings, and teaching methodsâ€"to help children learn most effectively? New evidence from many branches of science has significantly added to our understanding of what it means to know, from the neural processes that occur during learning to the influence of culture on what people see and absorb. How People Learn examines these findings and their implications for what we teach, how we teach it, and how we assess what our children learn. The book uses exemplary teaching to illustrate how approaches based on what we now know result in in-depth learning. This new knowledge calls into question concepts and practices firmly entrenched in our current education system. Topics include: How learning actually changes the physical structure of the brain. How existing knowledge affects what people notice and how they learn. What the thought processes of experts tell us about how to teach. The amazing learning potential of infants. The relationship of classroom learning and everyday settings of community and workplace. Learning needs and opportunities for teachers. A realistic look at the role of technology in education.

Research in Collegiate Mathematics Education III

Research in Collegiate Mathematics Education III
Author: James J. Kaput
Publisher: American Mathematical Soc.
Total Pages: 330
Release: 1998
Genre: Education
ISBN: 0821808826

Volume 3 of Research in Collegiate Mathematics Education (RCME) presents state-of-the-art research on understanding, teaching and learning mathematics at the post-secondary level. This volume contains information on methodology and research concentrating on these areas of student learning: Problem Solving; Understanding Concepts; and Understanding Proofs.

Teaching Mathematics in Grades 6 - 12

Teaching Mathematics in Grades 6 - 12
Author: Randall E. Groth
Publisher: SAGE Publications
Total Pages: 513
Release: 2012-08-10
Genre: Education
ISBN: 1452256020

Teaching Mathematics in Grades 6 - 12 by Randall E. Groth explores how research in mathematics education can inform teaching practice in grades 6-12. The author shows preservice mathematics teachers the value of being a "researcher—constantly experimenting with methods for developing students' mathematical thinking—and connecting this research to practices that enhance students' understanding of the material. Ultimately, preservice teachers will gain a deeper understanding of the types of mathematical knowledge students bring to school, and how students' thinking may develop in response to different teaching strategies.

Street Mathematics and School Mathematics

Street Mathematics and School Mathematics
Author: Terezinha Nunes
Publisher: Cambridge University Press
Total Pages: 186
Release: 1993-04-30
Genre: Education
ISBN: 9780521388139

This text is about the differences between the practical knowledge of mathematics and mathematics learned in school. The authors look at the differences between these two ways of solving mathematical problems.