The purpose of this research was to reveal how the construction process of symbolic representation and verbal representation made by students in problem solving. The construction process in this study referred to the problem-solving stage by Polya covering; 1) understanding the problem, 2) devising a plan, 3) carrying out the plan, and 4) looking…

Mathematics interventions aimed at accelerating the learning of students with mathematics difficulties (MD) should be developed through a design science approach such as the Curriculum Research Framework (CRF). Precision Mathematics is a National Science Foundation-funded DRK-12 Design and Development project focused on building mathematical…

"Mathematical Thinking: From Assessment Items to Challenging Tasks" is a compilation of 36 problem-based lessons that encourage students to engage in productive struggle and deep thinking. Its 36 full-length lessons for grades 2-8 are each inspired by an actual test item from the National Assessment of Educational Progress (NAEP).…

Ferris wheel is one amusement playground that resembles a giant spinning wheel. Many students are familiar with the Ferris wheel in the mini version of it at night market festivals. This is the potential for learning mathematics. Furthermore, there is a mathematical learning approach called Indonesian Realistic Mathematics Education (IRME) where…

Instruction targeting the underlying math problem structure is identified as an evidence-based practice for students with a specific learning disability (SLD). Furthermore, schema-based instruction is identified as a potentially evidence-based practice for students with a SLD. This study extended prior work by (a) using a teacher as the…

Although educational games have been used for a considerable time, their true potential for enhancing achievement and motivation is still being explored. We argue in this paper that we may get closer to realizing this potential if the theoretical underpinning of educational games is improved. We developed a simple interactive math game based on…

Mathematics is of major importance in science subjects. Unfortunately, students struggle with applying mathematics in science subjects, especially physics. In this qualitative study we demonstrate that transfer of algebraic skills from mathematics in physics class can be improved by using pre-knowledge effectively. We designed shift-problems…

Recommendations for preparing teachers of mathematics have been published by multiple professional organizations in the United States; however, there is limited research on whether student course perceptions affirm the instructor-identified alignment of mathematics content courses for prospective secondary mathematics teachers (PSMTs) to these…

This qualitative study examines the gifted students' self-reflections about the mathematical problems in an elaborated way. The participants of the study were three gifted students in 10th grade and 10 problem solving sessions were carried out with these participants. According to findings, the gifted students did not take into account the…

This study intended to improve the worded problem-solving skills of Grade Three pupils by using the developed Mathematical Learning Package utilizing Survey Question Read Question Compute Question (SQRQCQ) strategy. Specifically, it determined the significant difference on the level of performance of the respondents before and after utilizing…

The study presented aims at searching the relation between the learning environment and students' performances in Mathematics. Data of the 27 week-long research were compiled from 9th grade students at an Anatolian High School. Semi-experimental research modelled pre-test post-test control grouped experimental model was used in the study. Before…

The aim of the research is to examine the perspectives of teachers and preservice teachers in regard with models, mathematical models and mathematical modelling process in different variables terms and to compare them. In this research that is having quantitative research design survey method, which is one of the descriptive research technic,…

Our study is on developing mathematics items for Computer-Based Testing (CBT) using Tablet PC. These items are subject-based items using interactive dynamic objects. The purpose of this study is to obtain some suggestions for further tasks drawing on field test results for developed items. First, we clarified the role of the interactive dynamic…

This paper explores how a group of pre-service elementary school teachers training to become mathematics teachers for elementary schools arrived at generalizations based on patterns. Two representative problems were investigated with these preservice teachers. The focus of this study was how these preservice teachers analyze and symbolize…

This study was designed to examine predictors of instructional beliefs related to problem solving that influence mathematics in-service teachers' practices in the Chilean context. A total of 713 in-service mathematics teachers from various elementary schools participated in the survey study during 2015 and 2016. Results showed that teachers'…