Can mathematical problem solving be taught? Preliminary answers from 30 years of research

FK Lester Jr, J Cai - Posing and solving mathematical problems: Advances …, 2016 - Springer
In this chapter, the authors note that during the past 30 years there have been significant
advances in our understanding of the affective, cognitive, and metacognitive aspects of …

Rethinking problem-posing situations: A review

L Baumanns - … and Empirical Investigations for Understanding the …, 2022 - Springer
Abstract In research on mathematical problem posing, a broad spectrum of different
situations is used to induce the activity of posing problems. This review aims at …

Can ChatGPT support prospective teachers in physics task development?

S Küchemann, S Steinert, N Revenga… - Physical Review Physics …, 2023 - APS
The recent advancement of large language models presents numerous opportunities for
teaching and learning. Despite widespread public debate regarding the use of large …

[HTML][HTML] Affect in mathematical problem posing: Conceptualization, advances, and future directions for research

J Cai, R Leikin - Educational Studies in Mathematics, 2020 - Springer
The importance of this special issue is rooted in the idea that the cognitive and affective
fields are interrelated and support each other in the learning process. For example …

Learning to teach through mathematical problem posing: Theoretical considerations, methodology, and directions for future research

J Cai, S Hwang - International Journal of Educational Research, 2020 - Elsevier
Teachers are at the heart of implementing any educational innovation or improvement. One
critical need is to investigate how teachers learn to use problem posing to teach …

Problem-posing research in mathematics education: Some answered and unanswered questions

J Cai, S Hwang, C Jiang, S Silber - Mathematical problem posing: From …, 2015 - Springer
This chapter synthesizes the current state of knowledge in problem-posing research and
suggests questions and directions for future study. We discuss ten questions representing …

Multiple representation skills and creativity effects on mathematical problem solving using a multimedia whiteboard system

WY Hwang, NS Chen, JJ Dung, YL Yang - Journal of Educational …, 2007 - JSTOR
The aim of this study is to explore student multiple representation skills and creativity in
solving mathematical problems when supported by a multimedia whiteboard system. The …

Mathematics teachers' subject matter knowledge and pedagogical content knowledge in problem posing

Y Lee, RM Capraro, MM Capraro - International Electronic Journal of …, 2018 - iejme.com
Since the National Council of Teachers of Mathematics ([NCTM], 2000) and the National
Research Council ([NRC], 2005) revealed that problem posing needed to be incorporated …

An empirical taxonomy of problem posing processes

C Christou, N Mousoulides, M Pittalis, D Pitta-Pantazi… - Zdm, 2005 - Springer
This article focuses on the construction, description and testing of a theoretical model of
problem posing. We operationalize procesess that are frequently described in problem …

What makes a problem mathematically interesting? Inviting prospective teachers to pose better problems

S Crespo, N Sinclair - Journal of Mathematics Teacher Education, 2008 - Springer
School students of all ages, including those who subsequently become teachers, have
limited experience posing their own mathematical problems. Yet problem posing, both as an …