The terms conceptual knowledge and procedural knowledge are often used by teachers and never more so than when discussing how teachers teach, and children learn mathematics. This paper will look at literature regarding conceptual and procedural knowledge and their place in the classroom, to offer teachers and teacher educators' advice on some of…

Logarithms are notorious for being a difficult concept to understand and teach. Research suggests that learners can be supported in understanding logarithms by making connections between mathematics and science concepts such as pH. This study investigated how an integrated chemistry and mathematics lesson impacted 29 teachers' understanding of the…

The teaching and learning in Indonesian elementary schools focus both on students' concept mastery and character development. Teachers are encouraged to implement a learning model that integrates character values and yet promote learning interest. This study was aimed at investigating the mathematics learning interest of grade three elementary…

This study aims to understand from literature and from teacher perspectives the features of an effective professional development program for teacher learning and the essential instructional elements and activities for teaching with conceptual understanding. The goal was to produce a set of professional development modules on linear functions that…

This small study sought to determine students' knowledge of multiplication and division and whether they are able to use sets of bundling sticks to demonstrate their knowledge. Manipulatives are widely used in primary and some middle school classrooms, and can assist children to connect multiplicative concepts to physical representations.…

The purpose of this study is to examine a mathematics student teacher's lessons by using example types named "teaching concepts and procedures" and "the provision of exercises." The participant's two lessons regarding the probability concept were observed and the semi-structured interviews were realized. The participant…

With our conceptualization of Harre and van Langenhove's (1999) positioning theory, we draw attention to immanent experience and read transcendent discursive practices through the moment of interaction. We use a series of spatial images as metaphors to analyze the way positioning is conceptualized in current mathematics education literature and…

There is a growing awareness that an engineering presence within the K-12 curriculum provides an authentic contextual base for mathematics and science concepts. One large scale initiative focused on pre-college engineering is the National Center for Engineering and Technology Education (NCETE) funded through the National Science Foundations' (NSF)…

PIAGET'S THEORETICAL FORMULATION OF THE DEVELOPMENT OF CONSERVATION OF CONTINUOUS QUANTITY WAS EXAMINED. CONTROL SUBJECTS IN EACH OF TWO AGE GROUPS (5 AND 6 YEARS) WERE GIVEN A COMPLEX TASK SITUATION THAT IS TYPICAL OF PIAGET'S WORK. THESE SUBJECTS WERE ALSO GIVEN ANOTHER TASK, A MEASURE OF CONSERVATION OF QUANTITY THAT IS INDEPENDENT OF PIAGET'S…

Twenty-four children in kindergarten through fourth grade were interviewed and asked to share a pancake fairly among three dolls. The context was chosen to allow children to use out-of-school intuition and understanding if preferred. Four levels of development were identified leading to the understanding of fair fractions as those where each part…

Why percent is such a difficult mathematical concept to learn was explored in this review. The privileged language of percent has lost explicit references, has misleading additive terminology for multiplicative meanings, and has multiple uses for the preposition "of." Implications for teaching percent more effectively are discussed. (SLD)

This paper is a master's thesis reporting research on the effects of two instructional variables, recall of relevant subconcepts and information regarding the attributes of the concept instances on immediate concept learning, transfer and retention. Three sets of instructions were written varying in the amount and type of information given. These…

The research objectives were to identify the middle level mathematics teachers' conceptions of mathematics teaching and learning and ascertain changes in their conceptions and instructional behavior at the end of a three-year professional development (PD) project. These changes were studied through the qualitative analysis of their reflective…

Investigates the development of understanding of quantity in 36 children with Down's Syndrome. Findings confirmed similarities in sequence of development between Down's Syndrome children and nonretarded children. Down's children who received training recognized conservation of continuous and discontinuous quantity. (RJC)

The roles of both positive and negative instances in concept formation are discussed. Based on research results, the article stresses ideas that the classroom teacher could try in order to aid concept learning. Several specific examples, based on the concept of commutivity, are given. (LS)