We analyzed the statistical content within mathematics textbooks used in courses for preparing elementary teachers. Six textbooks commonly used in the United States comprised our sample. Each task in statistical sections was analyzed using both the levels of the GAISE framework (Franklin et al. 2007) and phases of the statistical problem solving…

Introduction: Motivation is an important factor in the learning of mathematics. Within this area of education, word problem solving is central in most mathematics curricula of Secondary School. The objective of this research is to detect the differences in motivation in terms of the strategies used to solve word problems. Method: It analyzed the…

Educational systems throughout the world serve students from diverse populations. Often students from minority populations (i.e. racial, ethnic, linguistic, cultural, economic) face unique challenges when learning in contexts based on the cultural traditions and learning theories of the majority population. These challenges often leave minority…

In this article we examine intuitions as they emerge in groupwork activities. We provide a framework and a methodology to code various aspects of the activity, social and mathematical. Focusing mostly on students' gazes, we explore how affective moves give rise to, and determine, students' interactions and thoughts. We argue that intuition does…

Recently, attention has focused on identifying core instructional practices that could leverage novice teachers' development of professional knowledge and skill. To help novices learn to implement these practices, there is also increasing interest in developing enactment tools that could translate abstract conceptual tasks into more concrete…

In the spring of 2015, Illinois students will take new state assessments that, like the new Illinois Learning Standards, challenge them to think deeply, write often and defend their reasoning--all skills they will need in the world. The Partnership for the Assessment of Readiness for College and Career (PARCC) covers math and English Language Arts…

The topic "Recurrence relations" and its place in teaching students of Informatics is discussed in this paper. We represent many arguments about the importance, the necessity and the benefit of studying this subject by Informatics students. They are based on investigation of some fundamental books and textbooks on Discrete Mathematics,…

Parents and teachers occasionally express concern that their children are too focused on the discovery of mathematics. The author remembers clearly one upset father who told him, "Just teach my daughter what she needs to know. Don't worry if she understands why it works. She just needs to know how to get the right answer." The author agrees with…

Novice problem solvers often fail to recognize structural similarities between problems they know and a new problem because they are more concerned with the surface features rather than the structural features of the problem. The surface features are the story line of the problem whereas the structural features involve the relationships between…

We propose to mine temporal patterns in Intelligent Tutoring Systems (ITSs) to uncover useful knowledge that can enhance their ability to provide assistance. To discover patterns, we suggest using a custom, sequential pattern-mining algorithm. Two ways of applying the algorithm to enhance an ITS's capabilities are addressed. The first is to…

Can middle-grades students determine which of two rectangular prisms has a larger volume? Can they do so without using a formula? Geometry, and particularly the concept of volume, is important in many subjects, such as physics and chemistry. Students greatly enhance their mathematics knowledge when they make generalizations and construct arguments…

For many students, geometry is the first course in which mathematical proof takes center stage. To help ease students into writing proofs, the author tries to create lessons and activities throughout the year that challenge students to prove their own conjectures by using tools learned in previous mathematics courses. Teachers cannot get all…

To improve student success in mathematics, the use of research-based interventions is necessary to help secondary students with learning disabilities (LD) access the algebra curriculum. The authors provide an overview of the following research-based approaches: explicit instruction, graduated instructional sequence, technology, and graphic…

"Everyday Mathematics"[R], published by Wright Group/McGraw-Hill, is a core curriculum for students in prekindergarten through grade 6. At each grade level, the "Everyday Mathematics"[R] curriculum provides students with multiple opportunities to learn concepts and practice skills. Across grade levels, concepts are reviewed and…

Our research aims to identify children's communicative strategies when faced with the task of solving a geometric puzzle in CSCL contexts. We investigated how to identify and trace "distributed cognition" in problem-solving interactions based on discursive cohesion to objects, participants, and prior discursive content, and geometric and…