[PDF][PDF] Children's understanding of probability: A literature review (full report)

P Bryant, T Nunes - London: Nuffield Foundation, 2012 - nuffieldfoundation.org
There are four key reasons for our interest in probability. First, we wondered whether the
teaching and learning of probability took sufficient account of children's prior knowledge of …

Teaching and learning mathematics: A teacher's guide to recent research and its application

M Nickson - 2004 - books.google.com
This fully up-dated second edition synthesizes the findings of the best of recent research
from different parts of the world. Marilyn Nickson covers issues as diverse as pupils' …

Not everything is proportional: Effects of age and problem type on propensities for overgeneralization

W Van Dooren, D De Bock, A Hessels… - Cognition and …, 2005 - Taylor & Francis
Previous research (eg, De Bock, 2002) has shown that-due to the extensive attention paid to
proportional reasoning in elementary and secondary mathematics education-many students …

[KIRJA][B] Educational algebra: A theoretical and empirical approach

E Filloy, T Rojano, L Puig - 2007 - books.google.com
Given its abstract nature and the highly syntactical competence required by the use of
symbolic algebra, research on its teaching and learning must rely on approaches that …

From addition to multiplication… and back: The development of students' additive and multiplicative reasoning skills

WV Dooren, DD Bock, L Verschaffel - Cognition and Instruction, 2010 - Taylor & Francis
This study builds on two lines of research that have so far developed largely separately: the
use of additive methods to solve proportional word problems and the use of proportional …

Could probability be out of proportion? Self-explanation and example-based practice help students with lower proportional reasoning skills learn probability

KN Begolli, T Dai, KM McGinn, JL Booth - Instructional Science, 2021 - Springer
Proportional reasoning failures seem to constitute most errors in probabilistic reasoning, yet
there is little empirical evidence about its role for attaining probabilistic knowledge and how …

The linear imperative: An inventory and conceptual analysis of students' overuse of linearity

W Van Dooren, D De Bock, D Janssens… - Journal for Research …, 2008 - pubs.nctm.org
The overreliance on linear methods in students' reasoning and problem solving has been
documented and discussed by several scholars in the field. So far, however, there have …

[KIRJA][B] Key Ideas in Teaching Mathematics: Research-based guidance for ages 9-19

A Watson, K Jones, D Pratt - 2013 - books.google.com
Big ideas in the mathematics curriculum for older school students, especially those that are
hard to learn and hard to teach, are covered in this book. It will be a first port of call for …

[KIRJA][B] The illusion of linearity: From analysis to improvement

D De Bock, W Van Dooren, D Janssens, L Verschaffel - 2007 - books.google.com
Linear or proportional relationships are a major topic in mathematics education. However,
recent research has shown that secondary school students strongly tend to apply the linear …

Numbers don't speak for themselves: Strategies of using numbers in public policy discourse

E Jablonka, C Bergsten - Educational Studies in Mathematics, 2021 - Springer
In mathematics education, there is general agreement regarding the significance of
mathematical literacy (also quantitative literacy or numeracy) for informed citizenship, which …