Empirical research on problem solving and problem posing: a look at the state of the art

P Liljedahl, J Cai - ZDM–Mathematics Education, 2021 - Springer
Problem solving and problem posing have long been of interest to the mathematics
education community. In this survey paper we first look at some of the seminal moments in …

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 …

The effect of learning environments based on problem solving on students' achievements of problem solving

I Karatas, A Baki - International Electronic Journal of Elementary …, 2013 - iejee.com
The Effect of Learning Environments Based on Problem Solving on Students’ Achievements of
Problem Solving Page 1 International Electronic Journal of Elementary Education, 2013, 5(3) …

Problem Solving for the 21st Century

L English, B Sriraman - Theories of mathematics education: Seeking new …, 2009 - Springer
Mathematical problem solving has been the subject of substantial and often controversial
research for several decades. We use the term, problem solving, here in a broad sense to …

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 …

[PDF][PDF] Mathematics curriculum development and the role of problem solving

J Anderson - ACSA conference, 2009 - academia.edu
Problem solving is recognised as an important life skill involving a range of processes
including analysing, interpreting, reasoning, predicting, evaluating and reflecting. It is either …

[HTML][HTML] What research says about teaching mathematics through problem posing

J Cai - Éducation et didactique, 2022 - journals.openedition.org
There has been increased emphasis on integrating problem posing into curriculum and
instruction with the promise of potentially providing more and higher quality opportunities for …

[PDF][PDF] University students' learning styles and their ability to solve mathematical problems

NM Aljaberi - International Journal of Business and Social …, 2015 - researchgate.net
The purpose of this study is to determine the learning styles of pre-service elementary
school teachers at the University of Petra, and to assess their ability to solve mathematical …

[PDF][PDF] Theory for teaching and teaching for theory: Artifacts as tangible entities for storing and improving professional knowledge for teaching

J Cai, S Hwang, M Melville… - … teaching: Current status …, 2023 - library.oapen.org
In discussing theories of teaching, we take the position that there is a two-way street
between what we call theory for teaching and teaching for theory. We articulate the linkages …

The framework for posing elementary mathematics problems (F-PosE): Supporting teachers to evaluate and select problems for use in elementary mathematics

A Leavy, M Hourigan - Educational studies in mathematics, 2022 - Springer
An essential task for mathematics teachers is posing problems. Selecting mathematics
problems that develop mathematical proficiency and engage students in desirable …