One way to emphasize students' strengths when reasoning verbally is through number talks. During a number talk, a teacher facilitates a 5- to 15-minute conversation during which students have the opportunity to engage in mental mathematics and verbally explain and justify their reasoning regarding how they make sense of numerical computations.…

This article shares two activities geared toward students in middle school that engage students in analyzing measures of center, specifically the arithmetic mean, and using transnumerative thinking with the ultimate goal of improving students' statistical literacy. Both activities support the Common Core standard, 6.SP.B.5 "Summarize and…

Baroody, Lai & Mix [2006. The development of young childrens number and operation sense and its implications for early childhood education. In B. Spodek, & O. N. Saracho (Eds.), "Handbook of research on the education of young children" (2nd Ed., pp. 187-221). NJ: Lawrence Erlbaum.] differentiate between four different learning…

The overarching theme of this book can be simply stated: Building on a foundation of biologically based abilities, children construct number via sensorimotor and mental activity. In this chapter, we return to this theme, and we connect it to three additional themes that emerge across chapters: comparing competing models for conceptual change;…

Price comparison is a functional mathematics skill involving purchasing, use of money, and budgeting, with the goal of selecting the best deal based on a person's financial resources (Browder, Spooner, & Trela, 2011). The operational definition of "price comparison" is to compare the magnitudes of the price numbers and then select…

An overview of positive and negative potential effects of the setting of compulsory exit-level standards in literacy and numeracy for students completing their final years of schooling is presented. The overview rests on studies completed primarily outside Australia, reflecting the reality of such practices not having been implemented widely in…

Quantitative literacy is an important proficiency that pertains to "word problems" from science, history, and other fields. Unfortunately, teaching how to solve such problems often is relegated to math courses alone. This article examines how quantitative literacy also involves concepts and skills from English composition and the substantive…

We describe our approach to incorporating a civic engagement component into a quantitative literacy (QL) course and the resulting gains in student learning, confidence, and awareness of local civic issues. We revised the existing QL course by including semester-long group projects involving local community issues that students could investigate…

Benford's law of the "first digits" states that in spite of intuitively expected equal frequency of 1/9 of the decimal digits r = 1, ... , 9 appearance on the first place of any number, various empirical studies show another pattern of these frequencies distribution, which is log[subscript 10](1 + 1/r). The article considers this law and other…

Just as mathematical ability begins to form in early childhood, so, too, does the knowledge gap separating low-income children from their more affluent peers, who generally enter school with much greater math knowledge. This gap is troubling given that early deficits in mathematical knowledge can have profound implications for future learning. One…

In 1999, Ministers responsible for school education agreed to the new set of "National Goals for Schooling in the Twenty-First Century," with the aim of providing high quality schooling in Australia which would secure for students the necessary knowledge, understanding, skills and values for a productive and rewarding life. As a…

Recently, increasing attention has become focused on the inadequacy of the American high school experience for adequately preparing individuals for the jobs of the future as well as for life more generally. This inadequate preparation is explored primarily through the findings from the twelfth grade portion of the Third International Mathematics…

A comparison is provided between general education core requirements and basic skills and competencies at the community college level in Illinois. First, general education core requirements from the Illinois Community College Board and South Suburban College are outlined related to communication; mathematics; humanities and fine arts; social and…

In 1999, Ministers responsible for school education agreed to the new set of "National Goals for Schooling in the Twenty-First Century," with the aim of providing high quality schooling in Australia which would secure for students the necessary knowledge, understanding, skills and values for a productive and rewarding life. As a…

Participants in a teacher workshop compared these two approaches to learning outcomes in adult numeracy: (1) teaching mathematical skills and (2) using and applying mathematics from real life. The first approach was illustrated by an Ontario, Canada, program based on traditional school math, whose outcomes are skill-based and are the following:…