Although it is not a new idea, discourse continues to be a topic of discussion among teachers, teacher educators, and researchers in mathematics education. The National Council of Teachers (NCTM) and the Common Core State Standards for Mathematics (CCSSM 2010) describe mathematics classrooms as discourse communities in which whole-class…

In this paper, we report on the implementation of a novel compute-to-learn pedagogy, which is based upon the theories of situated cognition and meaningful learning. The "compute-to-learn" pedagogy is designed to simulate an authentic research experience as part of the undergraduate curriculum, including project development, teamwork,…

Applying the Mathematical Knowledge for Teaching framework, we discuss the components of teacher knowledge that might be useful in supporting mathematical inquiry, and examine ways in which we strive to develop this knowledge within a middle grades mathematics program for undergraduate students who are prospective teachers. Using sample activities…

Maori-medium pangarau classrooms occupy a unique space within the mathematics education landscape. The language of instruction is an endangered minority language and many teachers and learners in Maori-medium pangarau classrooms are second language (L2) learners of te reo Maori. Mobile technology could be used in Maori-medium pangarau classrooms…

The goals of problem-solving activities in the elementary grades often include making sense of story problems, developing a range of strategies, and reaching accurate solutions. These are important mathematical aims, but they do not fully address the demands of modeling with mathematics as described in the fourth of the Common Core's eight…

The Common Core's Standards for Mathematical Practice encourage teachers to develop their students' ability to reason abstractly and quantitatively by helping students make sense of quantities and their relationships within problem situations. The seventh-grade content standards include objectives pertaining to developing linear equations in…

A cohort program to increase retention of under-represented groups in chemistry was developed at the College of Saint Benedict/Saint John's University. In particular, this program chose to emphasize early career mentoring and early access to research. This goal was chosen because research has been repeatedly shown to increase scientific identity…

The celebrated Basel Problem, that of finding the infinite sum 1 + 1/ 4 + 1/9 + 1/16 + ..., was open for 91 years. In 1735 Euler showed that the sum is pi[superscript 2]/6. Dozens of other solutions have been found. We give one that is short and elementary.

We use a novel approach to evaluate the indefinite integral of 1/(1 + x4) and use this to evaluate the improper integral of this integrand from 0 to [infinity]. Our method has advantages over other methods in ease of implementation and accessibility.

Arguments over conceptions of giftedness and provisions for the gifted bear similarities to arguments over key constructs in other disciplines. We can clarify and strengthen the conceptual foundations for gifted education by going beyond psychology and education to explore theory and research in other disciplines such as cultural anthropology,…

This paper describes the development of a hybrid introductory course for students in their first or second year of an information systems technologies degree program at a large Midwestern university. The course combines topics from discrete mathematics and programming logic and design, a unique twist on most introductory courses. The objective of…

Steganography is the art and science of concealing communication. The goal of steganography is to hide the very existence of information exchange by embedding messages into unsuspicious digital media covers. Cryptography, or secret writing, is the study of the methods of encryption, decryption and their use in communications protocols.…

This account of practice sets out the action learning experience of three doctoral students on the same Doctoral Programme in Business Administration at a UK university. It also include the sense-making of a fourth member of the set. It explores the tension between their area of work and their engagement in the action learning process and, in so…

This article discusses assessments that can be used to help encourage a collaborative classroom community, in which students help one another learn mathematics. The authors describe participation quizzes and explanation quizzes as assessment tools that encourage students to work together, share specific questions on challenging mathematics…

In an effort to support a solid grounding in educational theory within the field of museum education, three texts considered essential reading for museum educators were surveyed for correlations with Merrill's First Principles of Instruction, an influential work in the field of instructional design. Each of five First Principles were found to be…