We provide a conceptual analysis of how combinatorics problems have the potential to support students to establish non-linear meanings of multiplication (NLMM). The problems we analyze we have used in a series of studies with 6th, 8th, and 10th grade students. We situate the analysis in prior work on students' quantitative and multiplicative…

This paper refers to the concept of semiotic and theoretic control describing resources to conduct decisions in epistemic processes. We consider an argumentation process from a complex problem-solving activity involving different conceptual frames related to parabolas. Using a micro-analytical interpretative lens, we will show that, in order to…

In response to staff concerns about literacy and numeracy standards of commencing students, the School of Health Sciences at the University of Notre Dame Australia (UNDA) Fremantle campus worked with academic support staff from the University's Academic Enabling and Support Centre (AESC) to develop a Post Entrance Numeracy Assessment (PENA). The…

Expanded instructional time has become increasingly popular as a strategy to improve the academic outcomes of low-skilled students, particularly in the 9th grade. We evaluate the efficacy of a double-period algebra policy initiated in the Chicago Public Schools in 2003. This policy required all students with 8th-grade test scores below the…

This study took place at Skaneateles High School in Skaneateles, New York in a grade 10 Integrated Math AB course with 52 students in 3 sections using the TI-84 Plus family graphing calculators and the TI-Navigator classroom learning system with a projector and interactive whiteboard. New York State is phasing in a new curriculum that integrates…

Contexts are currently enjoying much prominence in school mathematics. Generally, the contextual issues and situations learners are exposed to and deal with in Mathematical Literacy are, with good reason, determined by curriculum, learning resource and test designers. This article reports on a study that investigated contexts that learners would…

Standards for Technological Literacy: Content for the Study of Technology was released in April 2000 by the International Technology Education Association (ITEA, 2000). This was the first attempt by the ITEA to set forth comprehensive specifications regarding what students should know and be able to do within each of four grade bands from…

"University of Chicago School Mathematics Project (UCSMP) Algebra," designed to increase students' skills in algebra, is appropriate for students in grades 7-10, depending on the students' incoming knowledge. This one-year course highlights applications, uses statistics and geometry to develop the algebra of linear equations and…

The Gaining Early Awareness and Readiness for Undergraduate Program (GEAR UP) is designed to provide assistance to low income students. The program provides discretionary grants for the purpose of increasing the readiness of low income students to attend and succeed in postsecondary education. The grants are up to six years in length and provide…