Teaching by analogy: From theory to practice

ME Gray, KJ Holyoak - Mind, Brain, and Education, 2021 - Wiley Online Library
Analogy is a powerful tool for fostering conceptual understanding and transfer in STEM and
other fields. Well‐constructed analogical comparisons focus attention on the causal …

Probabilistic analogical map** with semantic relation networks.

H Lu, N Ichien, KJ Holyoak - Psychological review, 2022 - psycnet.apa.org
The human ability to flexibly reason using analogies with domain-general content depends
on mechanisms for identifying relations between concepts, and for map** concepts and …

Why do we have three rational number notations? The importance of percentages

RS Siegler, J Tian - Advances in child development and behavior, 2022 - Elsevier
The integrated theory of numerical development provides a unified approach to
understanding numerical development, including acquisition of knowledge about whole …

The role of reasoning in mathematical thinking

K Morsanyi, J Prado, LE Richland - Thinking & Reasoning, 2018 - Taylor & Francis
Research into mathematics often focuses on basic numerical and spatial intuitions, and one
key property of numbers: their magnitude. The fact that mathematics is a system of complex …

How do people choose among rational number notations?

J Tian, DW Braithwaite, RS Siegler - Cognitive psychology, 2020 - Elsevier
Three rational number notations--fractions, decimals, and percentages--have existed in their
modern forms for over 300 years, suggesting that each notation serves a distinct function …

Affordances of fractions and decimals for arithmetic among middle school students in the United States and China

Q Liu, Y Wang, DW Braithwaite - Journal of Experimental Child Psychology, 2025 - Elsevier
Recent research by Liu and Braithwaite (2023; Journal of Experimental Psychology:
Learning, Memory, and Cognition, Vol. 49, pp. 1459–1470) revealed differential affordances …

Affordances of fractions and decimals for arithmetic.

Q Liu, D Braithwaite - Journal of Experimental Psychology …, 2023 - psycnet.apa.org
Rational numbers are represented by multiple notations: fractions, decimals, and
percentages. Whereas previous studies have investigated affordances of these notations for …

People's preferences for different types of rational numbers in linguistic contexts

X Yang, Y Wang - Quarterly Journal of Experimental …, 2022 - journals.sagepub.com
Rational numbers, like fractions, decimals, and percentages, differ in the concepts they
prefer to express and the entities they prefer to describe as previously reported in display …

The influence of semantic alignment on the performance of addition and division operation: age-related differences

Y Wang, J Gao, T Wang, B Huang, H Feng, J Si - Cognitive Processing, 2023 - Springer
Semantic alignment refers to the cognitive tendency that people always seek for the
matching of semantic relations between mathematical cognition and objects in specific …

Social arithmetics: learning from Indramayu traditional market traders in doing calculations

S Sudirman, CA Rodríguez-Nieto… - … of Mathematics and …, 2023 - nakiscience.com
This study aims to reveal the counting patterns performed by Indramayu Traditional Market
Traders in buying and selling activities. This research uses a qualitative approach with a …