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Expert and Preservice Secondary Teachers' Competencies for Noticing Student Thinking about Modelling
Cai, Jinfa; LaRochelle, Raymond; Hwang, Stephen; Kaiser, Gabriele – Educational Studies in Mathematics, 2022
This study examined how expert and novice (preservice) teachers solved mathematical modelling tasks as well as how they noticed written artifacts of student thinking that were in response to the mathematical modelling tasks. Some teachers in both groups were aware of the openness and underdetermination of the modelling tasks and that these…
Descriptors: Experienced Teachers, Preservice Teachers, Secondary School Teachers, Teacher Competencies
Bakker, Arthur; Cai, Jinfa; Zenger, Linda – Educational Studies in Mathematics, 2021
Before the pandemic (2019), we asked: "On what themes should research in mathematics education focus in the coming decade?" The 229 responses from 44 countries led to eight themes plus considerations about mathematics education research itself. The themes can be summarized as teaching approaches, goals, relations to practices outside…
Descriptors: Educational Trends, Mathematics Education, Educational Research, Surveys
Wang, Guangming; Zhang, Sheng; Cai, Jinfa – Educational Studies in Mathematics, 2021
Research has shown that students' beliefs related to mathematics are connected to their affect and motivation as well as their mathematical thinking and activity. Moreover, high parental expectations have been shown to play a role in students' positive beliefs and self-efficacy. This paper reports on two studies investigating parental expectations…
Descriptors: Parent Attitudes, Expectation, Student Attitudes, Beliefs
Liu, Qimeng; Liu, Jian; Cai, Jinfa; Zhang, Zhikun – Educational Studies in Mathematics, 2020
This study explored 1634 Chinese eighth-grade students' domain- and task-specific self-efficacy and its relationship to their problem-posing performance. In particular, the linear regression model, generalized additive model (GAM), and piecewise regression model (PRM) were used to detail the linear and non-linear relationships between these…
Descriptors: Self Efficacy, Problem Solving, Mathematics Instruction, Mathematics Achievement
Li, Xinlian; Song, Naiqing; Hwang, Stephen; Cai, Jinfa – Educational Studies in Mathematics, 2020
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 their beliefs about the challenges of teaching in this way. This study investigated teachers who were learning how to teach mathematics through problem posing. The primary…
Descriptors: Mathematics Instruction, Teaching Methods, Problem Solving, Teacher Attitudes
Moyer, John C.; Robison, Victoria; Cai, Jinfa – Educational Studies in Mathematics, 2018
This paper presents findings from a larger research project that provides insight into the attitudes of high-school students who were taught using different types of mathematics curricula when they were in middle school. A total of 44 12th-grade students from 10 high schools in the same urban school district were interviewed. Eighteen (41%) of…
Descriptors: High School Students, Mathematics Instruction, Student Attitudes, Research Projects
Zhu, Yan; Kaiser, Gabriele; Cai, Jinfa – Educational Studies in Mathematics, 2018
Gender differences in achievement in mathematics, a traditionally male-stereotyped subject, have long been a concern for many educators around the world. Gender differences in mathematical achievement have decreased in recent decades, especially in Western countries, and become small or insignificant in large-scale tests, such as the Programme for…
Descriptors: Sex Fairness, Mathematics Achievement, Mathematics Instruction, Foreign Countries
Jiang, Chunlian; Hwang, Stephen; Cai, Jinfa – Educational Studies in Mathematics, 2014
This study examined 361 Chinese and 345 Singaporean sixth-grade students' performance and problem-solving strategies for solving 14 problems about speed. By focusing on students from two distinct high-performing countries in East Asia, we provide a useful perspective on the differences that exist in the preparation and problem-solving strategies…
Descriptors: Foreign Countries, Grade 6, Problem Solving, Mathematics Instruction
Cai, Jinfa; Moyer, John C.; Wang, Ning; Hwang, Stephen; Nie, Bikai; Garber, Tammy – Educational Studies in Mathematics, 2013
In this study, we used problem posing as a measure of the effect of middle-school curriculum on students' learning in high school. Students who had used a standards-based curriculum in middle school performed equally well or better in high school than students who had used more traditional curricula. The findings from this study not only show…
Descriptors: Middle Schools, Educational Change, Academic Achievement, Problem Solving