The purpose of this research is to examine fourth grade students' ability to solve mathematical problems which have the same solutions but are given in three different formats as "symbolic, numerical and story (word) problem" and which require four operations. Within this frame, the students' solutions in different formats, their…

This program focused on improving mathematics content and pedagogy for Algebra I teachers, including regular classroom teachers and exceptional education teachers, as they implemented the Tennessee Mathematics Standards. Concentrating work on a few topics allowed for tightening breadth while increasing depth of content, as well as devoting study…

We propose a divisibility criterion for elements of a generic Unique Factorization Domain. As a consequence, we obtain a general divisibility criterion for polynomials over Unique Factorization Domains. The arguments can be used in basic algebra courses and are suitable for building classroom/homework activities for college and high school…

The aim of this study was to investigate how pictorial representations with different semiotic characteristics affect additive word problem solving by kindergartners. The focus of the study is on three categories of additive problems (change problems, combine problems and equalize problems) and on representational pictures with different semiotic…

Slope is a fundamental mathematics concept in middle and high school that transcends to the university level. An understanding of slope is needed at the university level since slope plays an important role in understanding problems involving variation and change. In this study Mexican curricula documents were examined to determine which…

Approximately 80% of community college students and 25% of four-year students taking mathematics courses in post-secondary institutions struggle with moderate to high math anxiety, and 67% of two-year and 44% of four-year students are remedial noncompleters "no degree and not enrolled" (Chen, 2016, p. 35). Tobias (1993) stated that it…

There are opinions about approaching the proof in mathematics education need to change as providing students to understand the mathematical proof rather than developing formal mathematical proof skills. In this context, proofs without words described as informal proofs can be used in proof teaching. The purpose of this study was to investigate the…

We, six elementary mathematics teacher educators (MTEs), noticed that many of our elementary pre-service teachers (EPSTs) were limited by their views of mathematics, typically as the result of their prior experiences with learning mathematics. Much of the research around such limiting views focuses primarily on negative experiences or treats such…

Expectancy-value theory mostly focuses on how expectancy and value beliefs are associated with academic achievement. Both expectancy and value beliefs are multidimensional and can be further decomposed into general and specific factors. However, few studies have explored the associations of these general and specific factors with academic…

It is known that a significant portion of the world's child population is gifted. Studies on the applications that can be used in the education of these gifted students have been given importance in recent years. In this study, the effect of differentiated instruction method on mathematics problem solving attitude and critical thinking skills of…

Due to the sudden and unexpected move to remote learning in 2020 influenced by COVID-19, both mathematics teacher educators (MTEs) and prospective elementary teachers (PTs) faced a new challenge in creating a productive remote teaching and learning environment. In this study, we used Parrish's (2014) addition strategies and Thanheiser's (2009)…

Flipped classroom (FC) pedagogical frameworks have recently gained considerable popularity, especially at secondary school levels. However, there are rich opportunities to explore FC at tertiary levels, but progress on the area requires instructors' attention to well-designed tasks for students' collaborative learning. Realistic Mathematics…

In recent years there has been a renewal of educational software encouraged by the incorporation of specific designs based on serious games. Previous studies on their use do not provide conclusive data on the advancement in learning, both at a general level and in specific contents. The main objective of this work is to study the impact of the use…

Background: One criterion of adaptive learning is appropriate generalization to new instances based on the original learning context and avoiding overgeneralization. Appropriate generalization requires understanding what features of a solution are applicable in a new context and whether the new context requires modifications or a new approach. In…

Mathematics word problems provide students with an opportunity to apply what they are learning in their mathematics classes to the world around them. However, students often neglect their knowledge of the world and provide nonsensical responses (e.g., they may answer that a school needs 12.5 buses for a field trip). This study examined if the…