For at least the past 40 years, the mathematics education community has attempted to characterize important learning goals for students that are not captured completely in specifications of mathematical content objectives. Mathematical processes such as problem solving, reasoning and representation have been prominent in these attempts. The most…

Computer algebra systems (CAS) have been available for over 20 years and yet minimal CAS-rich opportunities present themselves formally to high school students. CAS tools have become readily accessible through free or inexpensive versions. Educators are emboldened to integrate essential mathematical tools in the reasoning and sense making of…

The study explores secondary school students' attitude towards learning geometry. In this present study the researcher adopts quantitative and descriptive survey method. All the students studying in class IX and X in secondary schools situated in Diphu town, Karbi Angling district of Assam constitutes the population of the study. Using stratified…

Traditional forms of teacher professional development have generally not led to instructional change or improvement. Thus, innovative models of professional development are being explored to improve teacher quality and effectiveness. Content-Focused Coaching is a relatively new form of teacher professional development that incorporates content…

This dissertation examines elementary teacher candidates' perceptions of hip-hop culture and utilizing hip-hop pedagogy in a mathematics classroom. This study demonstrates how elements of hip-hop may be integrated into an elementary mathematics methods course to develop pedagogical knowledge that challenges teacher candidates to explore the…

Building a strong foundation in the early numeracy gateway skills in pre-k and kindergarten has strong implications for future success in mathematics. Currently, very few research-based early numeracy interventions are available for students prior to first grade. Furthermore, the majority of current early numeracy interventions are administered…

Issues of equity exist within classrooms just as they exist more broadly within society in general. This paper looks at issues of equity affecting access to learning for girls working on challenging mathematical tasks in collaborative groups with boys. It examines measures that teachers can take to mitigate inequity and foster a culture within…

Mathematical achievement is an early predictor of students' academic outcomes, and mathematics achievement continues to be important throughout life. Thus, it is essential to examine instructional methods that enhance mathematical learning. One method that may impact mathematical learning is the use of gestures, yet a comprehensive methodical…

In present article the possibilities of synergy revealing of mathematical education in secondary school on the basis of modern achievements in science adaptation are investigated. The technology is based on the study of "problem zones" of the development of school mathematics with synergetic effects manifestation on the basis of visual…

Skillful teaching involves seeing mathematics in ways that are coherent and making decisions during planning and teaching. In particular, teaching requires making decisions about what connections to make, when to make them, and how students might make them. We posit that it is important for teachers and teacher educators to understand the…

Middle school is a critical time when students begin formal study of functional relationships in algebra. However, many students struggle in understanding functions as relationships between quantities that change according to a dependency relationship. We report on the influence of Scaling Continuous Covariation in fostering productive ideas about…

This study explores the progression from student justification to generalization in the course of example-based reasoning. Data was collected through group interviews with high school students who were working collaboratively on a task of determining connections between perimeter and area of tile shaped patterns. The task called for making and…

This study investigates one Calculus student's meanings for quantifiers in Calculus statements involving multiple quantifiers. The student was asked in a two-hour long clinical interview to evaluate and interpret the Intermediate Value Theorem (IVT) and three other statements whose logical structure was similar to the IVT except for the order of…

In this study, the elements of the design and results of the implementation of a Massive Open Online Course (MOOC) based on the problem solving and the use of digital technology are analyzed and discussed. The results show that the design of the activities, the intervention of the MOOC design team in the discussion forums and the interaction among…

Children learn to find answers when multiplying two whole numbers (e.g., 3 × 7 = 21). To this end, they may repeatedly add one number (e.g., 7 + 7 + 7 = 21). But what meanings do they have for multiplication? The authors address this issue while sharing an innovative, playful task called Please Go and Bring for Me (PGBM). Drawing on the…