One of the most fundamental strategies in mathematics instruction is practice problems because teachers know that practicing a skill improves performance. At the same time, teachers also know that just because students can correctly answer practice problems does not mean they fully understand the concept or how to apply a formula--especially not…

This case study aims to investigate the extent to which the teaching mode called flipped classroom is effective in enabling students to learn fundamental concepts in cost engineering. It adopted a repeated measure design and statistical evaluation to examine the learning approaches that enabled students to master fundamental concepts. It also…

Attention to mathematical modeling has grown, but most practicing and future teachers have limited experience with mathematical modeling and how to integrate it into their practice. However, documents such as the Common Core and GAIME Report emphasize the importance of mathematical modeling in mathematics education. Engaging students in…

Despite progress toward gender equity, troubling disparities in mathematical problem-solving performance and related outcomes persist. To investigate why, we build on recurrent findings in previous studies to introduce a new construct, "bold problem solving," which involves approaching mathematics problems in inventive ways. We introduce…

This study presents three students who are bilingual with learning dis/abilities in small group mathematics discussions. The three students showcased their abilities as problem solvers, justifiers, and evaluators of basic operation and fractional understanding. This paper presents the teaching practices used to support the mathematical agency of…

Educational systems are now focusing on skills enhancement, such as creative thinking skills (CTS), as a means of long-lasting, significant learning. To this end, some universities and higher education institutions incentivize active learning (AL) strategies as CTS developers. Indeed, a positive link among creative results, time availability, and…

This study used structured interviews to examine cyclical relations among self-regulated learning (SRL) processes before (forethought), during (performance), and after (self-reflection) engagement with a creative problem-solving (CPS) task. Theoretically, forethought influences performance, which subsequently influence self-reflection. We examined…

Research Findings: The present study investigated the effects of a 12-week inquiry-based science and engineering (IBSE) program on preschoolers' science and engineering learning experiences. The treatment versus control condition was randomly assigned to four preschool classes, which included 122 preschoolers (M = 61.10 month, SD = 3.73).…

Although there have been calls for secondary mathematics education in the U.S. to incorporate problem-solving and creativity, the lion's share of instruction is designed to train students to accurately use procedures or understand concepts made by mathematicians in the past (National Research Council, 1999; Watson, 2008). This disconnect…

Elementary mathematics curriculum materials can serve as a lever for instructional change. In this paper, we promote a particular kind of instructional change: supporting teachers in learning to integrate children's multiple mathematical knowledge bases (MMKB), including children's mathematical thinking and children's home and community-based…

The purpose of this study was to explore the factors that might affect learning performance and collaborative problem solving (CPS) awareness in science, technology, engineering, and mathematics (STEM) education. We collected and analyzed data on important factors in STEM education, including learning strategy and learning behaviors, and examined…

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…

Much work has been done to characterize the reasoning of students as they solve mathematics-intensive problems and characterizing differences in expert and novice problem solving. In this work, we characterize the problem-solving strategies in a classroom setting of "transitioning novices," students who have completed an introductory…

The purpose of this mixed methods study was to investigate the effect of a graphing calculator (GC) intervention on Grade 11 learners' achievement in quadratic inequality problem solving. The quantitative aspects of the study involved an experimental and control group design in which the experimental group received instruction using the GC…

Activities that play a significant role in mathematical thinking and problem-solving are mathematical problem posing. Scientific Approach with What-If-Not strategy (SA-WIN) is innovative learning that can improve the Mathematical Problem Posing Ability (MPPA) of students rather than Conventional Teaching (CT). This study aims to analyze the…