The purpose of this study was to examine the effects of a number line intervention with supported self-explanation on student understanding of fraction magnitude and quality of explanation. Participants were three U.S. middle school students with significant behavior problems. Participants were given eight lessons containing explicit instruction…

Inquiry-based learning (IBL) in mathematics is a student-centered approach that encourages exploration, problem-solving, and critical thinking, allowing students to actively engage with mathematical concepts and discover relationships through hands-on activities and collaborative learning. Despite the growing interest in IBL within mathematics…

In 2014 NCTM advocated for productive struggle by expressing the need for teachers to allow their students the time necessary to grapple with their mathematical "uncertainties." We posit pre-service teachers need opportunities to productively struggle when learning and applying their mathematical understanding in order to understand how…

Adopting a pretest-posttest experimental design with repeated measures, this study examined the effects of three types of game-based learning supports in the form of modeling on knowledge development that contributed to successful math problem solving and students' perceived game flow. Forty-one sixth-grade students participated in the study and…

Students with autism spectrum disorder frequently face challenges when learning mathematical concepts. For example, they may have difficulties solving mathematical word problems, in particular Cartesian product problems. This research is a case study with a multiple probe design in which the participants were three Spanish students diagnosed with…

Special Education teachers serve students who are struggling in mathematics and continue to fall further behind each year. Educators are faced with the challenge of selecting the most effective program for assessing and teaching mathematics that will promote mathematics achievement for students who are served in resource settings. The KeyMath-3…

This research aimed to determine the difficulties that the students experience in inequality solutions that contain inequality in general and rational (proportional) expressions, and to solve these difficulties with an activity. Totally 108 students, who were enrolled in the Department of Mathematics and Science Education, consisted respectively…

This paper demonstrates an experimental integrated lesson of physics and calculus in a topic of fluid force applying on different shapes of dams. This lesson was designed for the first year students in engineering program in an attempt to show them the connection between these two disciplines, as well as to introduce more advanced…

Research on mathematics interventions for college students with learning disabilities (LD) is sparse, yet mathematics is critical for post-secondary success. Prior research indicates that many effective strategies for teaching mathematics to secondary students with LD (e.g., manipulatives and cognitive strategies) can also improve the mathematics…

Measurement and statistical investigation are areas of mathematics visibly neglected in educational intervention research, particularly studies involving students with or at risk for mathematics difficulties (MD). This shortage is concerning given the importance these areas hold in students' pursuit of mathematical proficiency. This study…

Measurement and statistical investigation are areas of mathematics visibly neglected in educational intervention research, particularly studies involving students with or at risk for mathematics difficulties (MD). This shortage is concerning given the importance these areas hold in students' pursuit of mathematical proficiency. This study…

In response to restrictions on visitors within school buildings during the COVID-19 pandemic, the evidence-based math fact fluency procedure known as the taped problems intervention was adapted for use in a virtual setting. The present study used a multiple-probe across participants design to evaluate the effects of the adapted intervention on the…

Background: With the recent pivot to online instruction and/or to mixed online/face-to-face (i.e., hybrid) models of teaching necessitated by the novel coronavirus pandemic, the uses of technology to support instruction would seem to have great importance. Whereas effective integration of technology in mathematics classrooms requires recognition…

Mathematical knowledge for teaching is a complex web of knowledge domains. In this article, we share findings from an 18-month professional development project that aimed to improve middle school mathematics teachers' mathematical knowledge for teaching (MKT) of proportional reasoning by focusing on the critical analysis of mathematical tasks and…

Teaching fraction operations for conceptual understanding is a challenging task. For the topic of fraction division especially, teachers need support because teachers find this difficult to teach and elementary and middle school students struggle to learn this concept. Well-structured professional development can assist teachers in exploring their…