Publication Date

In 2020 | 0 |

Since 2019 | 1 |

Since 2016 (last 5 years) | 1 |

Since 2011 (last 10 years) | 2 |

Since 2001 (last 20 years) | 4 |

Descriptor

Source

For the Learning of… | 6 |

Author

Mason, John | 6 |

Watson, Anne | 2 |

Askew, Mike | 1 |

Cobb, Paul | 1 |

Hanna, Gila | 1 |

Nesher, Pearla | 1 |

Sfard, Anna | 1 |

Streefland, Leen | 1 |

Venkat, Hamsa | 1 |

Publication Type

Journal Articles | 6 |

Reports - Descriptive | 3 |

Guides - Classroom - Teacher | 2 |

Guides - Classroom - Learner | 1 |

Opinion Papers | 1 |

Education Level

Audience

Practitioners | 1 |

Location

South Africa | 1 |

Laws, Policies, & Programs

Assessments and Surveys

What Works Clearinghouse Rating

Venkat, Hamsa; Askew, Mike; Watson, Anne; Mason, John – For the Learning of Mathematics, 2019

In this paper, we provide an elaboration of the notion of mathematical structure -- a term agreed upon as valuable but difficult to define. We pull apart the terminology surrounding the notion of structure in mathematics: relationship, generalising/generalisation and properties, and offer an architecture of structure that distinguishes and…

Descriptors: Mathematics Instruction, Mathematical Concepts, Algebra, Mathematical Formulas

Hanna, Gila; Mason, John – For the Learning of Mathematics, 2014

This article discusses the concepts of "key ideas" and "memorability" and how they relate to the metric "width of a proof" put forward by the Fields medalist Timothy Gowers (2007) in a recent essay entitled "Mathematics, memory and mental arithmetic". The paper looks at the meaning of these concepts and…

Descriptors: Mathematics Education, Mathematical Logic, Mathematical Concepts, Teaching Methods

Mason, John – For the Learning of Mathematics, 2010

Indulging in recounting a few salient memories of what seems now like a dim and distant past, I raise questions about the ebb and flow, the waxing and waning of salient themes in mathematics education. I mention some of the most inspirational influences on my thinking and on my behaviour with learners of all ages. I take the opportunity to ask…

Descriptors: Mathematics Education, Influences, Theory Practice Relationship

Mason, John; Watson, Anne – For the Learning of Mathematics, 2009

While Socrates and Meno are discussing the nature of knowledge through considering the square-root of two with one of Meno's slaves, their wives are discussing the nature of knowledge through considering the square-root of three with one of the slave girls, using a diagram based on Raphael's "The School of Athens" being contemplated by Euclid.

Descriptors: Mathematical Concepts, Mathematics Instruction, Epistemology, Knowledge Level

Peer reviewed

Mason, John – For the Learning of Mathematics, 1980

The roles and uses of symbols in mathematical thinking are discussed. The thinking process is further subdivided into specialization, generalization, and reasoning. (MP)

Descriptors: Cognitive Processes, Discovery Learning, Inservice Teacher Education, Learning Theories

Peer reviewed

Sfard, Anna; Nesher, Pearla; Streefland, Leen; Cobb, Paul; Mason, John – For the Learning of Mathematics, 1998

Presents three schools of argument on mathematical communication: (1) cognitivist argument; (2) interactionist argument; and (3) neo-pragmatist argument. Distinguishes the mathematical versus talking about mathematics, talking mathematics versus learning the art of mathematical conversation, and the conversation of mathematicians versus students'…

Descriptors: Classroom Communication, Elementary Secondary Education, Mathematical Linguistics, Mathematics Education