Search Results - "Tall, David O."

Duality, Ambiguity, and Flexibility: A "Proceptual" View of Simple Arithmetic by Gray, Eddie M., Tall, David O.

“…In this paper we consider the duality between process and concept in mathematics, in particular, using the same symbolism to represent both a process (such as…”
Get full text

Professional development through lesson study: teaching the derivative using GeoGebra by Verhoef, Nellie C., Coenders, Fer, Pieters, Jules M., van Smaalen, Daan, Tall, David O.

“…This study focuses on mathematics teachers' professional development through elements of Japanese lesson study. The teachers designed a research lesson with…”
Get full text

Dynamic mathematics and the blending of knowledge structures in the calculus by Tall, David O.

“…This paper considers the role of dynamic aspects of mathematics specifically focusing on the calculus, including computer software that responds to physical…”
Get full text

Metaphor or Met-Before? The effects of previouos experience on practice and theory of learning mathematics by McGowen, Mercedes A., Tall, David O.

“…▶ How experiences ‘met-before’ affect learning in new contexts. ▶ How experiences ‘met-before’ affect learning in new contexts. ▶ Mathematicians build on their…”
Get full text

Developing a theory of mathematical growth by Tall, David O.

“…In this paper I formulate a basic theoretical framework for the ways in which mathematical thinking grows as the child develops and matures into an adult…”
Get full text

The transition to formal thinking in mathematics by Tall, David

“…This article focuses on the changes in thinking involved in the transition from school mathematics to formal proof in pure mathematics at university. School…”
Get full text

Flexible thinking and met-befores: Impact on learning mathematics by McGowen, Mercedes A., Tall, David O.

“…•The minus sign changes meaning subtly as the curriculum develops.•Problematic aspects that arise from changes in meaning of the “−” symbol are…”
Get full text

Duality, Ambiguity, and Flexibility: A “Proceptual” View of Simple Arithmetic by Gray, Eddie M., Tall, David O.

“…In this paper we consider the duality between process and concept in mathematics, in particular, using the same symbolism to represent both a process (such as…”
Get full text

Metaphor or Met-Before? The Effects of Previous Experience on Practice and Theory of Learning Mathematics by McGowen, Mercedes A, Tall, David O

“…While the general notion of "metaphor" may offer a thoughtful analysis of the nature of mathematical thinking, this paper suggests that it is even more…”
Get full text

Abstraction as a natural process of mental compression by Gray, Eddie, Tall, David

“…This article considers mathematical abstraction as arising through a natural mechanism of the biological brain in which complicated phenomena are compressed…”
Get full text

A child thinking about infinity by Tall, David O.

Get full text

CONSTRUCTION OF CONCEPTUAL KNOWLEDGE: THE CASE OF COMPUTER-AIDED EXPLORATION OF PERIOD DOUBLING by Chae, Soo D., Tall, David O.

“…This research focuses on students using an experimental approach with computer software to give visual meaning to symbolic ideas and to provide a basis for…”
Get full text