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Espresso

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Filtered research on mathematics education

Every two months we bring you an Espresso – a small but intense draught of filtered research on mathematics education, expressly designed with teachers in mind. Each Espresso considers one particular issue in mathematics education, and how the latest good-quality research can provide helpful guidance or further reading. Perfect with a biscuit; sip gently and combine with a drop of professional judgement for a benevolent stimulant effect.

An infographic showing a graph comparing success and choice of division and multiplication strategies chosen by students

Issue 42: Division and multiplication

12 April 2022

What does research suggest about the teaching and learning of division and multiplication?

Read Espresso 42

An infographic showing an example of a rich data set classification task

Issue 41: Rich data sets

16 March 2022

What does research suggest about teaching statistics using rich data sets?

Read Espresso 41

An infographic displaying Two ways of thinking about division and fractions: Partitioning and Correspondences

Issue 40: Fraction equivalence

21 December 2021

What does research suggest about the teaching and learning of fraction equivalence?

Read Espresso 40

An infographic displaying Four ways to approach finding missing values when working with similarity

Issue 39: Teaching and learning similarity

09 November 2021

What does research suggest about the teaching and learning of similarity?

Read Espresso 39

An infographic displaying Proportion of correct responses by Year 9 students to different types of percentage question (calculator provided)

Issue 38: Teaching and learning of percentage

31 August 2021

What does research suggest about the teaching and learning of percentage?

Read Espresso 38

An infographic displaying Common forms of bias when people think about probability: Availability bias, Representativeness bias and Equiprobability bias.

Issue 37: Early concepts of probability

28 June 2021

What does research suggest about teaching and learning early concepts of probability?

Read Espresso 37

Infographic displaying The Overlapping lenses of proportional reasoning

Issue 36: Developing concepts of ratio

06 May 2021

What does research suggest about developing concepts of ratio?

Read Espresso 36

Infographic displaying The number line: a flexible and useful mode. Showing various examples of number lines

Issue 35: The number line

02 March 2021

What does research suggest about the number line?

Read Espresso 35

Infographic displaying Solutions offered to the question 8 + 4 = ? + 5 by U.S school pupils at different ages

Issue 34: The equal sign

01 December 2020

What does research suggest about teaching and learning the equal sign?

Read Espresso 34

Infographic displaying the Cultural frames that may obscure racism in education. Minimization of racism frame, naturalization frame, cultural racism frame and abstract liberalism frame.

Issue 33: Racial equity in maths education

29 October 2020

What does the research suggest about racial equity issues in mathematics education?

Read Espresso 33

Infographic displaying approximate translations of words used to tell the time in Great Britain, Egypt, Romania, Norway, Hong Kong and Italy

Issue 32: Developing concepts of time

04 August 2020

What does research suggest about developing concepts of time?

Read Espresso 32

Infographic displaying Types of combination problems

Issue 31: Introduction to combinations

01 July 2020

What does research suggest around the introduction of combinatorics (often called combinations)?

Read Espresso 31

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Cambridge Mathematics is committed to championing and securing a world class mathematics education for all students from 3 – 19 years old, applicable to both national and international contexts and based on evidence from research and practice.

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