Previous research has shown that when confronted with missing-value word problems, primary school students strongly tend to use proportional solution approaches, even if these approaches are inappropriate. The authors investigated whether (besides the missing-value formulation of word problems) the numbers appearing in word problems are part of…

A 3-week problem-solving practice phase was used to investigate concept-procedure interactions in children's addition and subtraction. A total of 72 7- and 8-year-olds completed a pretest and posttest in which their accuracy and procedures on randomly ordered problems were recorded along with their reports of using concept-based relations in…

The majority of college students are not ready for college-level math courses, which, when completed, have been shown to increase graduation and transfer rates. To address this problem, the Math My Way (MMW) program was developed to integrate module-based curriculum and mastery learning approaches. The program is based on Seidman's retention…

According to this author, when it comes to data-based decision making, many educators are looking in the wrong place. This is one reason why this potentially powerful practice has too often under-delivered. Many schools rush headlong into analyzing data without considering if the data they are reviewing is worth the effort, if other data might…

Efforts to meet the needs of children's learning in arithmetic has led to an increased emphasis on the teaching of mental calculation strategies in England. This has included the adoption of didactical tools such as the empty number line (ENL) that was developed as part of the realistic mathematics movement in the Netherlands. It has been claimed…

Given the importance of algebra, middle school mathematics teachers have a responsibility to help students transition from understanding arithmetic to understanding the algebra that will be necessary for success in high school. One method of transition involves introducing algebraic concepts in concrete ways using meaningful contexts. The series…

"The Zeroing in on Number and Operations" series, which aligns with the Common Core State Standards and the NCTM Standards on Focal Points, features easy-to-use tools for teaching key concepts in number and operations and for addressing common misconceptions. Sharing the insights they've gained through decades of mathematics teaching and research,…

This dissertation examines the manner in which young school-age children construct quantitative mental imagery and act upon these constructions for arithmetic ends. After conducting dyadic teaching experiments with three first grade students who were participating in mathematics intervention, I found the connection between the participants'…

While there is evidence for an association between the development of reading and arithmetic, the precise locus of this relationship remains to be determined. Findings from cognitive neuroscience research that point to shared neural correlates for phonological processing and arithmetic as well as recent behavioral evidence led to the present…

Algebraic thinking is a top priority in mathematics classrooms today. Because elementary school teachers lay the groundwork to develop students' capacity to think algebraically, it is crucial for teachers to have a conceptual understanding of the connections between arithmetic and algebra and be confident in communicating these connections. Many…

Language and arithmetic are both lateralized to the left hemisphere in the majority of right-handed adults. Yet, does this similar lateralization reflect a single overall constraint of brain organization, such an overall "dominance" of the left hemisphere for all linguistic and symbolic operations? Is it related to the lateralization of specific…

This study examined the effects of a yearlong Mediational Intervention for Sensitizing Caregivers (MISC; Klein, 1992) on: (a) the quality of interactions between rehabilitation day center paraprofessional staff (n=10) and their adult consumers (n=19) with severe intellectual disability (ID) and (b) the consumers' cognition, autonomy, and…

The use of difference and differential equations in the modelling is a topic usually studied by advanced students in mathematics. However difference and differential equations appear in the school curriculum in many direct or hidden ways. Difference equations first enter in the curriculum when studying arithmetic sequences. Moreover Newtonian…

Gestalt psychologists proposed two distinct learning mechanisms. Associative learning occurs gradually through the repeated co-occurrence of external stimuli or memories. Insight learning occurs suddenly when people discover new relationships within their prior knowledge as a result of reasoning or problem solving processes that re-organize or…

This article focuses on the first school for indigenous girls in Algeria that opened in Algiers in 1845. The founder, Eugenie Luce, taught girls the rudiments--French language and grammar, reading, arithmetic, and Arabic, while the afternoon hours were devoted to sewing. This early focus on teaching French in order to achieve the "fusion of…