As teachers begin to construct an understanding of 'inquiry', and incorporate IBL into their classroom practice, they are challenged to be sensitive to the 'constructivist' nature of the CLD. This paper presents a reflection model structured to trigger thinking about beliefs in teaching and learning in order for teachers to re-examine their…

We describe an innovative preorientation curriculum (POC) for a Master of Biostatistics (MB) program. The goal of the POC is to fill critical skills gaps for students entering the MB program from heterogeneous backgrounds so they are prepared to engage in the program's rigorous, fast-paced training upon arrival. To achieve this goal, we introduce…

In this chapter, I propose a stance on learning fractions as multiplicative relations through reorganizing knowledge of whole numbers as a viable alternative to the Natural Number Bias (NNB) stance. Such an alternative, rooted in the constructivist theory of knowing and learning, provides a way forward in thinking about and carrying out…

A transcribed conversation between a mathematics educator and a disability studies educator is presented to highlight cross-disciplinary dialog as a fruitful space for recursive and reflexive engagement from which may emerge concepts to further both mathematics and disability education. The opening question, "How can I know what's possible in…

The purpose of this paper is to account for the advancement of questioning in mathematics education. Four sections focus on: (1) Importance of Questioning in Education (a historical perspective of questioning from the 1960s through the 1990s); (2) Cognitive Classification of Questions (Costa's Levels of Thinking, Webb's Depth of Knowledge, and…

The aim of this study is to determine pre-service classroom teachers' beliefs and thoughts about the roles of teachers and students in the classroom before taking the Mathematics Teaching I course. With this purpose, the study employed the survey method, a descriptive research technique. The study sample included 75 pre-service teachers (55…

The objective of this paper is to present attitudinal and cognitive beliefs of two preservice secondary mathematics teachers about teaching geometric transformations (GTs) using Geometer's Sketchpad (GSP). The study comprised ten task-based interviews, a series of five each with two participants, senior undergraduate preservice mathematics…

This study of "Preservice Secondary Mathematics Teachers' Beliefs about Teaching Geometric Transformations (GTs) using Geometer's Sketchpad (GSP)" aimed to explore the beliefs hold by preservice secondary mathematics teachers about teaching geometric transformations with Geometer's Sketchpad. In this study, I applied three methodological…

Teacher education preparation programs must adapt to changing science education reform movements that identify notebooking as an effective means to increase children's' science process skills and content knowledge. This study addresses the question, "What are the structures and thinking processes that teacher candidates utilize when writing…

Given the minimal impact in the classroom from the implementation of reform movements internationally, the question remains how researchers and teacher educators can address the learning needs of secondary mathematics teachers. The goal was to implement research that was focused on providing an empowering space for the advancement of teachers'…

The purpose of this study was to determine if online reflections through social networking affect students' sense of community and levels of perceived conceptual learning in Algebra I courses. Social constructivism, connectivism, and computer-mediated communication in relation to reflective practices form the theoretical and practical framework…

The goal in differentiating instruction in mixed-ability classrooms is to maximize each student's learning potential. The mixed ability classroom serves learners with a wide range of academic abilities, learning styles, background knowledge, home support, and English language skills. This grounded theory research study examines the dynamics of the…

This study addressed the problem of why students with learning disabilities in mathematics too often fail to develop multiplicative and divisional concepts/operations. We conducted a constructivist teaching experiment with 12 students (nine 5th and three 4th graders). This report focuses on three students' conceptual progress, particularly on…

In K-12 classrooms, as well as on the college and university level, the incorporation of digital games has played a vital role in the educational system. While introducing teachers to new fields, these digital games have been designed and implemented for the classroom and have shown positive results at a variety of educational levels. Cases on…

The study examined the integration of science and mathematics methods courses and preservice teachers' understanding of constructivism. The participants were 50 preservice teachers who were enrolled in early childhood education mathematics and science methods courses, and an early childhood practicum. The two methods courses were integrated and…