"Math Expressions" is a curriculum for students in prekindergarten through sixth grade that aims to build students' conceptual understanding of mathematics and to develop fluency in mathematical problem solving and computation. The curriculum encourages student learning of mathematics through real-world situations, visual supports such…

Many educators face the challenge of engaging students in science and mathematics, often struggling to bridge the gap between theoretical concepts taught in classrooms and their real-world applications. This disconnect can lead to disinterest and disengagement among students, hindering their learning outcomes. "Cases on Informal Learning for…

"Math Expressions" is a curriculum for students in prekindergarten through sixth grade that aims to build students' conceptual understanding of mathematics and to develop fluency in mathematical problem solving and computation. The curriculum encourages student learning of mathematics through real-world situations, visual supports such…

"Math Expressions" is a curriculum for students in prekindergarten through sixth grade that aims to build students' conceptual understanding of mathematics and to develop fluency in mathematical problem solving and computation. The curriculum encourages student learning of mathematics through real-world situations, visual supports such…

NCTM's "Principles to Actions: Ensuring Mathematical Success for All" (2014), outlines eight teaching practices for effective teaching and learning mathematics. One of them, facilitate meaningful mathematical discourse, states, "Effective teaching of mathematics facilitates discourse among students to build shared understanding of…

This proceedings volume of InCoTEPD 2018 covers many ideas for handling a wide variety of challenging issues in the field of education. The outstanding ideas dealing with these issues result in innovation of the system. There are many innovation strategies resulting from recent research that are discussed in this book. These strategies will become…

In high school geometry courses, students are often given a prepackaged statement that they are asked to prove. In these situations, the process of writing proofs is being abridged, if not misrepresented. To provide her students with a more authentic experience in writing a proof, the author provided them with a summative project for which they…

In this paper we explore the relationship between language and developmental processes of logical tools through the analysis at different levels of some "linguistic-manipulative" activities in a primary school classroom. We believe that this kind of activities can spur in the children a reflection and a change in their language…

Data were collected in the problem representations and solution strategies of 30 first graders who were given a series of simple addition and subtraction word problems. The children were interviewed three times during the school year. The influence of problem structure on children's solution strategies appears more extensive and decisive than that…

Describes six key practices vital to a problem-centered instructional approach to number sense and computational strategies. Also presents actual classroom examples of strategies. (AIM)

Thinking Approach to Problem Solving (TAPS) is a decision-making model that will assist students, kindergarten through grade eight, to decide on the choice of operation in routine mathematical word problems. The TAPS algorithm, or plan, suggests that students read a word problem, determine the question to be answered in the problem, use concrete…

I argue in this article that identity as a mathematical thinker develops through self-directed learning within a supportive community of practice. The dynamic nature of identity as a mathematical thinker is illustrated by considering the experiences of primary pre-service teachers who undertook a mathematics and technology subject in their…

Activities are presented that focus on the topic of problem solving using the strategies of: (1) patterning; (2) working backwards; (3) making a chart, table, or graph; and (4) diagraming and elimination. (RH)

Describes a problem suitable for grades 1-6 where students utilize a hundreds chart and counters. Students cover any numbers that contain only the digit 1, then cover any numbers containing only the digits 1 and 2, and follow this pattern until they can determine how many digits are needed before the hundreds chart is half covered. (AIM)

The paragraph unit that constitutes an addition or subtraction word problem text is discussed and the logical conditions such problems must fulfill are formulated. An attempt is then made to formulate the semantic conditions which will define well-formed addition and subtraction texts. (MN)