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Advanced mathematical thinking and the computer

by David Tall - In D. Tall (Ed.), Advanced Mathematical Thinking , 1991
"... This presentation considers the developing role of the computer in advanced mathematical thinking, focusing on the learning of advanced mathematics by university students. It will consider different characteristics of advanced mathematical thinking and report research into the use of the ..."
Abstract - Cited by 14 (0 self) - Add to MetaCart
This presentation considers the developing role of the computer in advanced mathematical thinking, focusing on the learning of advanced mathematics by university students. It will consider different characteristics of advanced mathematical thinking and report research into the use of the

WHAT IS MATHEMATICAL THINKING AND WHY IS IT IMPORTANT?

by Kaye Stacey
"... This paper and the accompanying presentation has a simple message, that mathematical thinking is important in three ways. • Mathematical thinking is an important goal of schooling. • Mathematical thinking is important as a way of learning mathematics. ..."
Abstract - Cited by 1 (0 self) - Add to MetaCart
This paper and the accompanying presentation has a simple message, that mathematical thinking is important in three ways. • Mathematical thinking is an important goal of schooling. • Mathematical thinking is important as a way of learning mathematics.

The Psychology of Advanced Mathematical Thinking

by David Tall - Advanced Mathematical Thinking , 1991
"... In the opening chapter of The Psychology of Invention in the Mathematical Field, the mathematician Jacques Hadamard highlighted the fundamental difficulty in discussing the nature of the psychology of advanced mathematical ..."
Abstract - Cited by 65 (8 self) - Add to MetaCart
In the opening chapter of The Psychology of Invention in the Mathematical Field, the mathematician Jacques Hadamard highlighted the fundamental difficulty in discussing the nature of the psychology of advanced mathematical

Spurious correlations in mathematical thinking

by Talia Ben-zeev, Jon R. Star - Cognition and Instruction , 2001
"... How does detection of correlational structure affect mathematical thinking and learn-ing? When does correlational information lead to erroneous problem solving? Are ex-perienced students susceptible to misleading correlations? This work attempts to an-swer these questions by examining a source of sy ..."
Abstract - Cited by 13 (0 self) - Add to MetaCart
How does detection of correlational structure affect mathematical thinking and learn-ing? When does correlational information lead to erroneous problem solving? Are ex-perienced students susceptible to misleading correlations? This work attempts to an-swer these questions by examining a source

Statistical Literacy And Mathematical Thinking

by Milo Schield - INTERNATIONAL CONFERENCE ON MATHEMATICS EDUCATION (ICME) , 2000
"... Statistical Literacy, the study of statistics as evidence in arguments, is proposed as a new course – a bridging course to better prepare students for the traditional statistics course. Statistical Literacy can also be a stand-alone course with its focus on observational studies and confounding fact ..."
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factors. The mathematics involved in statistical inference of traditional statistics are reviewed. Causes of student difficulties are located in two areas: conditional probability and the relation between chance and confounding. These two problems are related to two areas of mathematical thinking

Mathematical Thinking in Chemistry

by Guillermo Restrepo, José L. Villaveces
"... Abstract: Mathematical chemistry is often thought to be a 20th-century sub-discipline of chemistry, but in this paper we discuss several early chemical ide-as and some landmarks of chemistry as instances of the mathematical way of thinking; many of them before 1900. By the mathematical way of thinki ..."
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Abstract: Mathematical chemistry is often thought to be a 20th-century sub-discipline of chemistry, but in this paper we discuss several early chemical ide-as and some landmarks of chemistry as instances of the mathematical way of thinking; many of them before 1900. By the mathematical way

The Impact of Mathematical Thinking

by Bernhelm Booß, Jens Høyrup, Von Mathematik
"... essay on the implications, past and present, of the military involvement of the mathematical sciences for their development and potentials Translated and updated in 1988/1992 by Jens Høyrup for the volume ..."
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essay on the implications, past and present, of the military involvement of the mathematical sciences for their development and potentials Translated and updated in 1988/1992 by Jens Høyrup for the volume

Harboring Mathematical Thinking In The Middle

by Daily Problem-solving Warm-ups, Diana French , 2006
"... In this action research study of my classroom of 8th grade mathematics, I investigated the use of daily warm-ups written in problem-solving format. Data was collected to determine if use of such warm-ups would have an effect on students ’ abilities to problem solve, their overall attitudes regarding ..."
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In this action research study of my classroom of 8th grade mathematics, I investigated the use of daily warm-ups written in problem-solving format. Data was collected to determine if use of such warm-ups would have an effect on students ’ abilities to problem solve, their overall attitudes

LEADERS IN MATHEMATICAL THINKING AND LEARNING

by A Conversation, P. Dienes, Bharath Sriraman, Richard Lesh
"... The name of Zoltan P. Dienes (1916 – ) stands with those of Jean Piaget, Jerome Bruner, Edward Begle, and Robert Davis as a legendary figure whose work left a lasting impression on the field of mathematics education. Dienes ’ name is synony-mous with the multibase blocks that he invented for the tea ..."
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The name of Zoltan P. Dienes (1916 – ) stands with those of Jean Piaget, Jerome Bruner, Edward Begle, and Robert Davis as a legendary figure whose work left a lasting impression on the field of mathematics education. Dienes ’ name is synony-mous with the multibase blocks that he invented

Mathematical Thinking & the Brain

by David Tall
"... Though our knowledge of brain activity is still rudimentary, it is becoming increasingly clear that our partial understanding of the phenomenon can give significant insight into mental processes; in particular our growing understanding of the brain itself highlights certain aspects of mathematical ..."
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Though our knowledge of brain activity is still rudimentary, it is becoming increasingly clear that our partial understanding of the phenomenon can give significant insight into mental processes; in particular our growing understanding of the brain itself highlights certain aspects of mathematical
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