The aim of this article is to inspire more teachers to explore the use of codable robots for teaching mathematics. The authors begin by discussing four benefits experienced by incorporating robots into middle school mathematics classes: (1) reasonable time frames; (2) authentic purposes for mathematics; (3) visual and nonevaluative feedback; and…

Increasingly, learning in science and mathematics is considered in terms of induction into the multimodal language practices of the disciplinary community. A strong strand of research in this tradition has involved students being challenged to invent multimodal language forms, and their ideas refined through structured guidance. Often, however,…

The use of Likert scale items for measuring teachers' beliefs quantitatively is criticized. In this study, two quantitative methods to measure teachers' beliefs, a Likert scale instrument as well as a new instrument employing rank-then-rate items, are each compared with a qualitative approach at obtaining beliefs, i.e. interviews along with…

Teachers' interactions with mathematically gifted students in the classroom environment, and the elements of this interaction have become prominent recently. This qualitative study's purpose is to reveal the views of prospective secondary mathematics teachers about these interactions. The study participants were seven prospective teachers…

Descriptions of mathematical thinking have an extended lineage. Sometimes accurate and sometimes not, sometimes misinterpreted and sometimes not, characterizations of mathematical thought processes have inspired and at times misled people interested in designing or framing mathematics instruction. Challenges the field faces in conceptualizing…

Standards-based grading (SBG) is an assessment/grading system that attaches scores to the mastery level of specific learning objectives. This methodology is gaining momentum in the K-12 environment but has been largely overlooked at the post-secondary level. In this paper, I will discuss the implementation of this practice in a College Algebra…

In this note, we report on an implementation of discovery-oriented problems in courses on Real Analysis and Differential Equations. We explain a type of task design that gives students the opportunity to conjecture, refute and prove. What is new is that the complexity in our problems is limited and thus the tasks can also be used in homework…

The current research sought to examine the impact of a week-long mathematics camp on motivation and self-efficacy beliefs of participating middle school students. Middle school students participated in a one-week mathematics camp on a college campus, where they worked on authentic mathematics activities that were applied to real world concepts.…

Learning to teach out-of-field is a challenge that many teachers worldwide face at some time in their career. Whether they are motivated to seek formal professional development as additional qualifications in this area, however, depends on many factors. Alignment between the specific professional development needs of out-of-field teachers and the…

What constitutes effective teaching of arithmetical skills in early school years is still uncertain. Finger use could play a crucial role in this acquisition, but some children do not use them spontaneously and studies would be necessary to know if it is possible to teach them. This research assesses the impact of a teacher-implemented…

The objective of this study is to explore the effect of the Big Math for Little Kids Program (BMKL) on the mathematical development of bilingual preschool children. For this purpose, an experimental design with pre-test/post-test with control group was employed. A total of 60 children from Diyarbakir were included in the research sample. Of these,…

In this paper we share a classroom implementation of a task about basis in linear algebra, which was originally developed for research about the topic. The task asks students to construct an everyday situation that captures the definition of basis, and then to critique it mathematically. Using this task, the original research study uncovered…

Mathematics achievement of Canadian elementary students has recently declined on provincial standardized testing. Despite a current emphasis on accountability-driven education, limited research has acknowledged the relation between heterogeneous student need and patterns of student achievement, specifically in regard to students with individual…

Research suggests that young children have a complex sense of informal mathematics, including an understanding of more and less, shape, and patterns (Ginsburg, Lee, & Boyd, 2008), and that attention to mathematics in early childhood ensures that children have a strong foundation for later learning. For children with identified disabilities,…

This study examines informal hypothesis testing in the context of drawing inferences of underlying probability distributions. Through a small-scale teaching experiment of three lessons, the study explores how fifth-grade students distinguish a non-uniform probability distribution from uniform probability distributions in a data-rich learning…