This paper seeks to integrate a scholarship of "ritual" with a scholarship of "improvisation" and relate the intersection thereof with mathematics teaching and learning and with mathematics education research. Drawing on their experiences as classroom teachers, as practicing improvisers, and as current education researchers,…

The authors describe working with partner disciplines during the process of updating mathematics courses for the general education quantitative literacy requirement. The conversations resulted in significant changes to the business calculus course and a rich listing of applications to be incorporated into the college algebra course from technical…

Researching how mathematical expression varies in different languages requires methodologies which allow investigation of languages on their own terms and the presentation of mathematical data in multiple languages. Perspectives and tools from linguistics can assist in identifying and describing mathematical expression in varied languages,…

Following a modeling-first approach to differential equations, inquiry-based learning activities on modeling and controlling the growth of locally relevant species, such as lionfish or sea turtles, are developed by the authors. Emerging exemplary practices are presented, building towards a balanced teaching of differential equations involving…

This paper explores how problem solving is approached in two 6th grade mathematics textbooks and national elementary mathematics curriculum in Turkey. The curriculum and textbooks' problem solving approaches are analysed and compared in the light of three approaches of 'teaching "for," "about" and "through" problem…

Meaningful mathematics learning requires creating opportunities for learners to make use of their awareness to contact important mathematical structures. Four first year undergraduates studying engineering, mathematics and education were invited to construct examples meeting specified constraints in order to investigate their awareness of…

This paper reports a systematic literature review of the balance model, an often-used aid to teach linear equations. The purpose of the review was to report "why" such a model is used, "what" types of models are used, and "when" they are used. In total, 34 peer-reviewed journal articles were analyzed, resulting in a…

In this article we outline the role evidence and argument plays in the construction of a framing theory for Proof Based Teaching of basic operations on natural numbers and integers, which uses tiles to physically represent numbers. We adopt Mariotti's characterization of a mathematical theorem as a triple of statement, proof and theory, and…

Theories for conceptualizing educational policies aimed at improving classroom instruction at scale are under development in the educational sciences. In using such theories, it is essential to note the specific educational context. In this article, we conceptualize the role of contextual factors when operationalizing Cobb and Jackson (2012)…

The taped problems (TP) intervention is a math fact fluency intervention designed to produce high rates of active and accurate academic responding. Multiple single-case design studies have examined the use of TP across grades of students, implementation group sizes, intervention settings, target math facts, total intervention time, application of…

To date, the way that academic misconduct is manifested in undergraduate mathematics coursework has been unexamined in the literature, with the consequence that policy and preventive education can fail to address it appropriately. This paper describes the particular features of the responses expected in mathematical tasks and provides concrete…

In Mexico there is a complicated situation regarding the subject of mathematics, especially in the high school students who have shown low performance in the results of the tests applied by international and national organizations. Therefore, the aim of the study is focuses on testing whether the variables of the scale proposed by Fennema and…

The Birthday Paradox problem can be investigated either with a carefully constructed spreadsheet (for greatest precision) or a calculator process (for reasonable precision). A number of ways of approaching this problem as a class activity are provided.

The aim of this study is to reveal the trends in studies on teaching mathematical skills and individuals with Down Syndrome (DS) from various perspectives by analyzing the content of scientific research articles in this field. As a result of literature review conducted for this purpose, a total number of 62 articles which can be accessed in full…

Marriage is an essential part of life for most people. In the Javanese tradition, great attention is paid to the "weton" of the couple through Javanese "Primbon." It predicts the fate of the couple in the marriage. This prediction of the Javanese outcome after the wedding has some numerical values. Therefore, this study aims to…