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 …

Developing a framework for characterising problem-posing activities: A review

L Baumanns, B Rott - Research in Mathematics Education, 2022 - Taylor & Francis
This article aims to develop a framework for the characterisation of problem-posing activities.
The framework links three theoretical constructs from research on problem posing, problem …

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 …

Making mathematics challenging through problem posing in the classroom

J Cai, S Hwang - Mathematical challenges for all, 2023 - Springer
Problem posing, the process of formulating and expressing problems based on a given
situation, is an essential practice in mathematics and other disciplines. Although this is …

Examining interactions between problem posing and problem solving with prospective primary teachers: A case of using fractions

J Xie, JO Masingila - Educational Studies in Mathematics, 2017 - Springer
Existing studies have quantitatively evidenced the relatedness between problem posing and
problem solving, as well as the magnitude of this relationship. However, the nature and …

Teaching mathematics through problem posing: insights from an analysis of teaching cases

H Zhang, J Cai - ZDM–Mathematics Education, 2021 - Springer
In this study we aimed to understand teaching mathematics through problem posing based
on an analysis of 22 teaching cases. Teaching mathematics through problem posing starts …

Mathematical problem posing of elementary school students: The impact of task format and its relationship to problem solving

L Zhang, J Cai, N Song, H Zhang, T Chen… - ZDM–Mathematics …, 2022 - Springer
Problem posing has received increased attention among researchers and educators. One of
the most important aspects is to understand the cognitive process of problem posing. In this …

Learning to teach mathematics through problem posing: Teachers' beliefs and performance on problem posing

X Li, N Song, S Hwang, J Cai - Educational Studies in Mathematics, 2020 - Springer
Any effort to integrate problem-posing instruction in school mathematics must attend to
teachers' beliefs about the advantages of teaching through problem posing and especially …