Mike Askew | Monash University (original) (raw)

Papers by Mike Askew

Educational Studies in Mathematics, Jul 12, 2017

In this paper, we present and discuss a framework for considering the quality of primary teachers... more In this paper, we present and discuss a framework for considering the quality of primary teachers' mediating of primary mathematics within instruction. The Bmediating primary mathematics^framework is located in a sociocultural view of instruction as mediational, with mathematical goals focused on structure and generality. It focuses on tasks and example spaces, artifacts, inscriptions, and talk as the key mediators of instruction. Across these mediating strands, we note trajectories from error and a lack of coherence, via coherence localized in particular examples or example spaces, towards building a more generalized coherence beyond the specific example space being worked with. Considering primary mathematics teaching in this way foregrounds the nature of the mathematics that is made available to learn, and we explore the affordances of attending to both coherence and structure/ generality. Differences in ways of using the framework when either considering the quality of instruction or working to develop the quality of instruction are taken up in our discussion.

Routledge eBooks, Nov 19, 2015

Zdm – Mathematics Education, Jul 1, 2015

Research into Cannabis induced psychosis and marijuana's effect on pre-existing mental disorders ... more Research into Cannabis induced psychosis and marijuana's effect on pre-existing mental disorders has been underway for several decades. However, many of these findings have surfaced in the U.S. over the last 15 years. Most of the information includes endogenous cannabinoid receptors in the brain, facts recently discovered, and more scientific evidence is needed to fully understand their role in Cannabis induced psychosis. Because cannabinoid receptors are neuromodulators, neurotransmitters are involved and how these are affected has yet to be discovered. Based on current understanding of neurotransmitters, the central nervous system, and mental disorders, this narrative review explores possible mechanisms of Cannabis induced mental disorders from a toxicological, pharmacological, and psychological perspective. This review also discusses the myth that no long-term ailments or illnesses arise from Cannabis use. It also illustrates why it is important to consider the potential consequences of legalizing Cannabis due to costly impacts on society with respect to public health and safety. Additionally, the author shares an experience observing an individual suffering from a mental disorder whose increased marijuana use led to more frequent, and dangerous, manic episodes.

Princeton University Press eBooks, Jul 19, 2022

In this paper I look at different aspects of mathematical reasoning, and argue that we need to ma... more In this paper I look at different aspects of mathematical reasoning, and argue that we need to make sure students of all ages engage in a range of mathematical reasoning, particularly given the evidence that teaching for reasoning is a powerful complement to teaching that is more focused on skills and procedures.

Introduced almost ten years apart, the National Curriculum and the National Numeracy Strategy eac... more Introduced almost ten years apart, the National Curriculum and the National Numeracy Strategy each were intended to improve the teaching and learning of primary mathematics in England. Although these initiatives have many things in common, there are also some key ...

British Educational Research Journal, 2002

MATHEMATICS: TRADITIONS AND [NEW] PRACTICES UNSCRIPTED MATHS: EMERGENCE ... Sawyer does not defin... more MATHEMATICS: TRADITIONS AND [NEW] PRACTICES UNSCRIPTED MATHS: EMERGENCE ... Sawyer does not define resultant effects but I take these to be those effects that are predictable through the study of their component parts, typified by the behaviour of billiard balls. ...

Zdm – Mathematics Education, Nov 2, 2018

This paper is centred around a framework for studying teaching-Mediating Primary Mathematics (MPM... more This paper is centred around a framework for studying teaching-Mediating Primary Mathematics (MPM)-developed in the context of the teaching of Whole Number Arithmetic (WNA) in South Africa. Findings from the analysis of four WNA lessons are used to illustrate how the application of the MPM framework can measure nuanced differences in the meditational means-both artefact-and human-based-employed by teachers. Detailed analysis of differences observed across these lessons shows that the mathematics taught can go beyond localized procedures and counting-based methods, and engage learners in mathematical activity that involves affordances for making connection and generalizing, particularly with respect to counting with composite units, a key developmental stage in WNA.

Educational Studies in Mathematics, Jul 12, 2017

In this paper, we present and discuss a framework for considering the quality of primary teachers... more In this paper, we present and discuss a framework for considering the quality of primary teachers' mediating of primary mathematics within instruction. The Bmediating primary mathematics^framework is located in a sociocultural view of instruction as mediational, with mathematical goals focused on structure and generality. It focuses on tasks and example spaces, artifacts, inscriptions, and talk as the key mediators of instruction. Across these mediating strands, we note trajectories from error and a lack of coherence, via coherence localized in particular examples or example spaces, towards building a more generalized coherence beyond the specific example space being worked with. Considering primary mathematics teaching in this way foregrounds the nature of the mathematics that is made available to learn, and we explore the affordances of attending to both coherence and structure/ generality. Differences in ways of using the framework when either considering the quality of instruction or working to develop the quality of instruction are taken up in our discussion.

Routledge eBooks, Nov 19, 2015

Zdm – Mathematics Education, Jul 1, 2015

Research into Cannabis induced psychosis and marijuana's effect on pre-existing mental disorders ... more Research into Cannabis induced psychosis and marijuana's effect on pre-existing mental disorders has been underway for several decades. However, many of these findings have surfaced in the U.S. over the last 15 years. Most of the information includes endogenous cannabinoid receptors in the brain, facts recently discovered, and more scientific evidence is needed to fully understand their role in Cannabis induced psychosis. Because cannabinoid receptors are neuromodulators, neurotransmitters are involved and how these are affected has yet to be discovered. Based on current understanding of neurotransmitters, the central nervous system, and mental disorders, this narrative review explores possible mechanisms of Cannabis induced mental disorders from a toxicological, pharmacological, and psychological perspective. This review also discusses the myth that no long-term ailments or illnesses arise from Cannabis use. It also illustrates why it is important to consider the potential consequences of legalizing Cannabis due to costly impacts on society with respect to public health and safety. Additionally, the author shares an experience observing an individual suffering from a mental disorder whose increased marijuana use led to more frequent, and dangerous, manic episodes.

Princeton University Press eBooks, Jul 19, 2022

In this paper I look at different aspects of mathematical reasoning, and argue that we need to ma... more In this paper I look at different aspects of mathematical reasoning, and argue that we need to make sure students of all ages engage in a range of mathematical reasoning, particularly given the evidence that teaching for reasoning is a powerful complement to teaching that is more focused on skills and procedures.

Introduced almost ten years apart, the National Curriculum and the National Numeracy Strategy eac... more Introduced almost ten years apart, the National Curriculum and the National Numeracy Strategy each were intended to improve the teaching and learning of primary mathematics in England. Although these initiatives have many things in common, there are also some key ...

British Educational Research Journal, 2002

MATHEMATICS: TRADITIONS AND [NEW] PRACTICES UNSCRIPTED MATHS: EMERGENCE ... Sawyer does not defin... more MATHEMATICS: TRADITIONS AND [NEW] PRACTICES UNSCRIPTED MATHS: EMERGENCE ... Sawyer does not define resultant effects but I take these to be those effects that are predictable through the study of their component parts, typified by the behaviour of billiard balls. ...

Zdm – Mathematics Education, Nov 2, 2018

This paper is centred around a framework for studying teaching-Mediating Primary Mathematics (MPM... more This paper is centred around a framework for studying teaching-Mediating Primary Mathematics (MPM)-developed in the context of the teaching of Whole Number Arithmetic (WNA) in South Africa. Findings from the analysis of four WNA lessons are used to illustrate how the application of the MPM framework can measure nuanced differences in the meditational means-both artefact-and human-based-employed by teachers. Detailed analysis of differences observed across these lessons shows that the mathematics taught can go beyond localized procedures and counting-based methods, and engage learners in mathematical activity that involves affordances for making connection and generalizing, particularly with respect to counting with composite units, a key developmental stage in WNA.