Student ability to demonstrate mathematical creativity positively affects their mathematical learning. Further, creativity-based mathematical instruction (CBMI) may enhance divergent thinking and precipitate a highly creative mathematical learning environment. In this literature review and discussion, it is posited that CBMI has distinctively…

The Student Evaluation of Teaching (SET), although controversial, is a common practice at the higher education level for faculty appraisals and promotions, but seldom at secondary school level. Concerns have been raised as to whether students are informed and experienced enough to evaluate teachers' teaching practices in a reliable way and arrive…

Math education experts agree that struggling students need supplemental intervention support. Yet implementing educational intervention programs is logistically complex. Schools need effective and feasible math intervention programs. The current study evaluated outcomes from a year-long randomized controlled trial of a community-school partnership…

In this chapter, I propose a stance on learning fractions as multiplicative relations through reorganizing knowledge of whole numbers as a viable alternative to the Natural Number Bias (NNB) stance. Such an alternative, rooted in the constructivist theory of knowing and learning, provides a way forward in thinking about and carrying out…

The Board on Science Education and the Board on Mathematical Sciences and Analytics of the National Academies of Sciences, Engineering, and Medicine convened the Workshop on Increasing Student Success in Developmental Mathematics on March 18-19, 2019. The Workshop explored how to best support all students in postsecondary mathematics, with…

The focus of this article is the well documented association between low working memory capacity and difficulty with mathematical word-problem solving. We begin by describing a model that specifies how various cognitive resources, including working memory, contribute to individual differences in word-problem solving and by then summarizing…

Professionals throughout the education system are recognizing that standardized testing is holding students back. Schools tend to view children as "outcomes" rather than as "individuals" who require guidance on thinking critically and creatively. "Awesome Math" focuses on team-based problem solving to teach discrete…

Take a deeper dive into understanding the five practices-anticipating, monitoring, selecting, sequencing, and connecting-for facilitating productive mathematical conversations in your middle school classrooms and learn to apply them with confidence. This follow-up to the modern classic, "The 5 Practices in Practice: Successfully Orchestrating…

Recent work in predictive modeling has called for increased scrutiny of how models generalize between different populations within the training data. Using interaction data from 69,174 students who used an online mathematics platform over an entire school year, we trained a sensor-free affect detection model and studied its generalizability to…

The formal definition of limit is one mathematical idea that gives difficulties to most students. Therefore, it is necessary to provide engaging activity in order to construct the students' understanding about the definition. This study aims to shed light on designing activities with dynamic geometry software to facilitate the students in…

Recent work in predictive modeling has called for increased scrutiny of how models generalize between different populations within the training data. Using interaction data from 69,174 students who used an online mathematics platform over an entire school year, we trained a sensor-free affect detection model and studied its generalizability to…

This article presents a part of the Inter-Tetra project. This study firstly reviews the literature on conceptions of experiments in didactics of math and didactics of physics to design questionnaires to survey the conceptions of experiments in teaching physics and teaching math in Vietnam. Thereafter, the survey has been conducted among the math…

In order for teachers to support students' mathematical thinking, Battista (2004) believed they must identify core mathematical concepts, recognize conceptual frameworks for understanding children's thinking, and use appropriate assessment tasks. In his view, learning trajectories provide teachers with information on children's cognitive abilities…

With the high number of students entering higher education who need developmental math coursework, it is imperative that institutions evaluate their developmental math programs. This study explored the instructor dispositional traits and pedagogy that students found aided or would have aided in their success in these courses. A sample of students…

The majority of American college students pursue a degree outside one of the STEM fields (US News & World Report, 2015), yet these same students must still complete a minimum level of coursework in mathematics for graduation. The intent of liberal arts math courses is to help students who are majoring in one of the liberal arts successfully…