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339 results on '"Holton, Derek"'

1. Problem solving

Author

Taylor, Wendy, Holton, Derek, and Holton, Alex

Published
2024

5. Mathematicians at Work: RS, RA, 1089, and on, and on, and Upwards

Author

Holton, Derek

Abstract

This article presents several mathematics problems on the same theme that can be used in class or for independent study. It is very difficult to show students how mathematics research is done by mathematicians, so the author first introduces a problem that can be tackled solely by arithmetic and then gives an idea of how a mathematician might tackle such a problem. Additionally, attention is drawn to how students can engage in mathematical work, including experimenting, collecting data, simplifying problems, checking work, proving, extending, and generalising.

Published
2023

10. www.nzmaths.co.nz

Author

Holton, Derek, Morrison, Joe, and Thomas, Gill

Published
2002

15. On the Shoulders of Giants: Cheryl Praeger

Author

Holton, Derek

Abstract

This is the third article in the "On the Shoulders of Giants" series that takes an outstanding mathematician, tells something of their life and work, and provides an item or two based on their achievements that can be used in a primary class. This article focuses on the work of Cheryl Praeger, with an activity based upon her work with mathematics and weaving.

Published
2022

17. Editorial

Author

Holton, Derek

Published
2022

21. 'Infinity-Based Thinking' in the Primary Classroom: A Case for Its Inclusion in the Curriculum

Author

Holton, Derek and Symons, Duncan

Abstract

In this paper, we list some of the areas of the Australian curriculum that have links with the concept of infinity. We do this in order to promote a discussion about what aspects of infinity should become familiar to primary teachers. From our viewpoint, infinity has connections with Algebra, Art, Geometry and Measurement, Probability, Science and Technology and is an essential ingredient in the teaching of mathematics in primary school.This work was first motivated by the concern that for many young children, infinity appears to be mysterious and mythical (see Pehkonen and Hannula 2006 based on a survey of 300 students aged from 11 to 14 years old), but there is no reason why this should be the case. Then, as we looked further into the curriculum, we saw that infinity was closely linked to many areas of both the primary and secondary curriculum and that an understanding of the concept of infinity could improve students' learning in a number of topics.We organise the paper by first considering the nature of infinity. In the four sections following infinity, we note that there are important parts of curriculum mathematics that are fundamentally affected by infinity in some way. In these sections, we discuss places where infinity and the collateral concept of convergence are critical for certain aspects of Geometry, Number (decimals and measurement), Algebra and Probability. These are followed by a discussion of the relevance of these to teaching and what understanding of infinity in these concepts might be worthwhile for teachers to know in order to help their students' search for knowledge and to gain a deeper understanding of specific topics in the curriculum.

Published
2021
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23. Emojis and Their Place in the Mathematics Classroom

Author

Holton, Derek and Symons, Duncan

Abstract

With the impact of the COVID pandemic, many students have been learning mathematics online. This article shows how emojis can be used as a virtual manipulative in online and digital learning platforms.

Published
2021

25. Going Further with Reasoning: Using and Developing Student Logic as Evidence of Mathematical Reasoning

Author

Symons, Duncan and Holton, Derek

Abstract

Duncan Symons and Derek Holton discuss the different types of mathematical reasoning and what each of these might look like in the classroom. By suggesting language that can be used to describe the different methods of reasoning, they hope to provide teachers with the tools they need to better recognise and assess student reasoning.

Published
2020

31. Symmetry

Author

Hilton, Peter, Holton, Derek, Pedersen, Jean, Axler, S., editor, Gehring, F. W., editor, Ribet, K. A., editor, Hilton, Peter, Holton, Derek, and Pedersen, Jean

Published
2002
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32. Catalan Numbers

Author

Hilton, Peter, Holton, Derek, Pedersen, Jean, Axler, S., editor, Gehring, F. W., editor, Ribet, K. A., editor, Hilton, Peter, Holton, Derek, and Pedersen, Jean

Published
2002
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33. Parties

Author

Hilton, Peter, Holton, Derek, Pedersen, Jean, Axler, S., editor, Gehring, F. W., editor, Ribet, K. A., editor, Hilton, Peter, Holton, Derek, and Pedersen, Jean

Published
2002
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35. Not the Last of Fermat

Author

Hilton, Peter, Holton, Derek, Pedersen, Jean, Axler, S., editor, Gehring, F. W., editor, Ribet, K. A., editor, Hilton, Peter, Holton, Derek, and Pedersen, Jean

Published
2002
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36. Are Four Colors Really Enough?

Author

Hilton, Peter, Holton, Derek, Pedersen, Jean, Axler, S., editor, Gehring, F. W., editor, Ribet, K. A., editor, Hilton, Peter, Holton, Derek, and Pedersen, Jean

Published
2002
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38. Paradoxes in Mathematics

Author

Hilton, Peter, Holton, Derek, Pedersen, Jean, Axler, S., editor, Gehring, F. W., editor, Ribet, K. A., editor, Hilton, Peter, Holton, Derek, and Pedersen, Jean

Published
2002
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40. Teacher Development and Mathematical Challenge

Author

Holton, Derek, Cheung, Kwok-cheung, Kesianye, Sesutho, de Losada, Maria Falk, Leikin, Roza, Makrides, Gregory, Meissner, Hartwig, Sheffield, Linda, Yeap, Ban-Har, Taylor, Peter J., editor, and Barbeau, Edward J., editor

Published
2009
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44. Fibonacci and Lucas Numbers

Author

Hilton, Peter, Holton, Derek, Pedersen, Jean, Axler, S., editor, Gehring, F. W., editor, Ribet, K. A., editor, Hilton, Peter, Holton, Derek, and Pedersen, Jean

Published
1997
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45. Paper-Folding and Number Theory

Author

Hilton, Peter, Holton, Derek, Pedersen, Jean, Axler, S., editor, Gehring, F. W., editor, Ribet, K. A., editor, Hilton, Peter, Holton, Derek, and Pedersen, Jean

Published
1997
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46. Hair and Beyond

Author

Hilton, Peter, Holton, Derek, Pedersen, Jean, Axler, S., editor, Gehring, F. W., editor, Ribet, K. A., editor, Hilton, Peter, Holton, Derek, and Pedersen, Jean

Published
1997
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47. Some of Our Own Reflections

Author

Hilton, Peter, Holton, Derek, Pedersen, Jean, Axler, S., editor, Gehring, F. W., editor, Ribet, K. A., editor, Hilton, Peter, Holton, Derek, and Pedersen, Jean

Published
1997
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49. Going Down the Drain

Author

Hilton, Peter, Holton, Derek, Pedersen, Jean, Axler, S., editor, Gehring, F. W., editor, Ribet, K. A., editor, Hilton, Peter, Holton, Derek, and Pedersen, Jean

Published
1997
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50. A Far Nicer Arithmetic

Author

Hilton, Peter, Holton, Derek, Pedersen, Jean, Axler, S., editor, Gehring, F. W., editor, Ribet, K. A., editor, Hilton, Peter, Holton, Derek, and Pedersen, Jean

Published
1997
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