The present research investigates the effects of an active and experiential learning approach on eighth-grade students' mathematics achievement employing a quasi-experimental research design. A total of 231 students from four Slovenian primary schools participated in the study, with 101 students assigned to the experimental group (EG) and 130 to…

Many mathematics teachers, at one time or another, have exclaimed that "I really didn't understand mathematics, until I had to teach it." Secondary mathematics teachers' knowledge, both subject matter and pedagogical content, plays an important role in their teaching of the subject. Teacher education programs are, therefore, designed to…

Experienced middle school mathematics and science teachers were recruited for a pilot study. The teachers separately responded to a survey related to determining expected learning outcomes based on their traditional teaching, classroom experiences and observations, and self-brainstorming. The teachers then received training on how to design,…

"Mathematical modeling of the physical world should be the central theme of physics instruction" (Hestenes 1987). Science teachers know this, but because of standardized state testing, many math teachers and some science teachers feel the need to focus on memorizing facts that will be on a multiple-choice test (Volante 2004). As a…

The standing long jump was an Olympic event until 1912. In 1904, Ray Ewry set the world record for the longest standing long jump, which was about 11.5 feet, or 138 inches. Although the standing long jump is no longer an Olympic event, the Norwegians still include it in their National Competition, and Arne Tvervaag set a new world record at about…

Teacher self-efficacy is the belief a teacher holds that he or she can make a difference in student achievement, even when the student is difficult or unmotivated (Guskey & Passaro, 1994). It has been linked to positive teacher practices and student outcomes. This mixed methods study of preservice elementary and early childhood math teachers…

How can children's natural perceptuo-motor skills be harnessed for teaching and learning mathematical structure? We address this question in the case of the integers. Existing research suggests that adult mental representations of integers recruit perceptuo-motor functionalities involving symmetry. Building on these findings, we designed a…

Flipped lesson planning, as popularized by Bergman & Sams (2012a), has been viewed by many as a revolutionary pedagogy, tailor-made for the twenty-first century classroom. Enthusiasm for flipped lesson planning has out-paced the collection of data that might determine its effectiveness. This paper presents the results of a study that compared…

An interdisciplinary course centered on mathematical ideas (involving infinity and geometry) is described. The course was developed by the authors, both mathematicians, as a vehicle for engaging students in learning about mathematical ideas that are rarely found in the general undergraduate curriculum. The course was offered to honors students…

Created by teachers for teachers, the Math Academy tools and activities included in this booklet were designed to create hands-on activities and a fun learning environment for the teaching of mathematics to students. This booklet contains the "Math Academy--Can You See It in Nature? Explorations in Patterns & Functions," which a teacher can use to…