This article explores teaching practices described in NCTM's Principles to Actions: Ensuring Mathematical Success for All. Student thinking, a learning cycle, and procedural fluency are discussed in this article, which is the second installment in the series. [For the first installment in this series see "Promoting a Conceptual Understanding…

Some students may be diagnosed with a learning disability in mathematics or dyscalculia, whereas other students may demonstrate below-grade-level mathematics performance without a disability diagnosis. In the literature, researchers often identify students in both groups as experiencing math difficulty. To understand the performance of students…

We make a case for including difference equations, in particular the discrete logistic equation, in basic differential equations courses. Contrasting the behavior of discrete and continuous models enriches students' understanding of both modeling and differential equations. To facilitate sharing discrete population models with students, some…

No research has been conducted on college students in developmental mathematics classes struggling with both mathematics anxiety and computer anxiety in a qualitative manner. Prior studies have dealt with college students in developmental mathematics classes struggling with mathematics anxiety and college students in developmental mathematics…

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,…

In their commentary, "Toward a Framework for Research Linking Equitable Teaching with the Standards for Mathematical Practice," Bartell et al. (2017) provide a stepping-stone into the challenge of clarifying the interface between equity and standards setting in mathematics education by devising a framework that relates the "Common…

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 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 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…

Many large universities, community colleges and some smaller four-year colleges are turning to hybrid or online instruction for remedial and entry level mathematics courses, often assessed using online exams in a proctored computer lab environment. Faculty face the task of choosing questions from a publisher's text bank with very little, if any,…