Could problem solving be the object of teaching in early education? Could appropriate teaching interventions develop to scaffold children's efforts to solve problems? These were the central questions of this article. The sample consisted of 18 children attending public pre-school in Cyprus. The problem they were asked to solve was to find all…

Research Findings: The present study involved using a questionnaire to investigate the mathematics teaching practices of 74 U.S. and 67 Chinese early childhood teachers. Quantitative and qualitative analyses yielded several key findings. First, U.S. teachers are less intentional in mathematics teaching than their Chinese counterparts.…

A number triangle, discovered using a recurrence formula similar to that of Pascal's triangle, yields sequence A077028 from the Online Encyclopedia of Integer Sequences.

Pascal's triangle is an arrangement of the binomial coefficients in a triangle. Each number inside Pascal's triangle is calculated by adding the two numbers above it. When all the odd integers in Pascal's triangle are highlighted (black) and the remaining evens are left blank (white), one of many patterns in Pascal's triangle is displayed. By…

Drawing on Cultural Historical Activity Theory, language socialization, and the notion of "third space," this article examines how bilingual, Latina/o students (Latina/o English learners) use sophisticated linguistic, cultural, and mathematical tools to solve community-based problems. This article examines the inherent tensions in using…

The 2012 U.S. presidential election is the perfect opportunity to present a timely civics lesson on how a U.S. president is elected. More important, it offers opportunities for students to reason mathematically about election issues--for example, about how much time and resources the candidates should invest in particular states. The results of…

This paper examines the experiences of three teachers who were engaged in a project designed to enhance student engagement in mathematics through the development of real-world context activities which enabled students to use mathematics as a tool for responsible citizenship and the pursuit of social justice.

In this report, we offer a framework for analyzing the ways in which collaboration influences learners' building of mathematical arguments and thus promotes mathematical understanding. Building on a previous model used to analyze discursive practices of students engaged in mathematical problem solving, we introduce three types of collaboration and…

This article presents an examination of the language demands of cognitively demanding tasks and proposes an initial framework for the language demands of higher-order mathematics thinking practices. We articulate four categories for this framework: "language of generalisation," "language of comparison," "language of proportional reasoning," and…

In the summer of 2009, 22 African American middle school students in eastern North Carolina became participants in the Reach Up program to increase the number of underrepresented students participating in science-, technology-, engineering-, and mathematics-related activities. One of the goals of the program was for these students to participate…

This article describes a fun activity that can be used to help students make links between statistical analyses and their real-world implications. Although an illustrative example is provided using analysis of variance, the activity may be adapted for use with other statistical techniques.

Concepts of Mathematics (21-127 at CMU) is a course designed to introduce students to the world of abstract mathematics, guiding them from more calculation-based math (that one learns in high school) to higher mathematics, which focuses more on abstract thinking, problem solving, and writing "proofs." This transition tends to be a shock:…

With open door admission policies, lower tuition rates, and convenient locations, community colleges are enrolling more and more academically unprepared students who are placing into developmental mathematics courses. Many of these community colleges need to assess their developmental education programs, instructors, courses, and students to…

While there are many considerations for effective mathematics teachers, one key factor is the development of a classroom culture that supports the desired form of learning. In examining the opportunities and constraints associated with posing challenging tasks, we are exploring ways that teachers might influence classroom culture positively. The…

Chris Brough and Nigel Calder share two scenarios in which students co-constructed their curriculum through generating their own problem solving and mathematical investigations. This article is a valuable exploration of the benefits of teachers working in partnership with their students.