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Tumay, Halil – Chemistry Education Research and Practice, 2014

The main purpose of this study was to identify prospective chemistry teachers' mental models of vapor pressure. The study involved 85 students in the Chemistry Teacher Training Department of a state university in Turkey. Participants' mental models of vapor pressure were explored using a concept test that involved qualitative comparison tasks.…

Descriptors: Chemistry, Preservice Teachers, Preservice Teacher Education, Mental Computation

Barth, Hilary; Baron, Andrew; Spelke, Elizabeth; Carey, Susan – Journal of Experimental Child Psychology, 2009

Recent studies have documented an evolutionarily primitive, early emerging cognitive system for the mental representation of numerical quantity (the analog magnitude system). Studies with nonhuman primates, human infants, and preschoolers have shown this system to support computations of numerical ordering, addition, and subtraction involving…

Descriptors: Numbers, Infants, Logical Thinking, Number Concepts

Roussev, Boris; Rousseva, Yvonna – Decision Sciences Journal of Innovative Education, 2004

Modern software practices call for the active involvement of business people in the software process. Therefore, programming has become an indispensable part of the information systems component of the core curriculum at business schools. In this paper, we present a model-based approach to teaching introduction to programming to general business…

Descriptors: Computer Software, Programming, Business Administration Education, Computation

Norton, Anderson – North American Chapter of the International Group for the Psychology of Mathematics Education, 2016

In this theoretical paper, I consider reversibility as a defining characteristic of mathematics. Inverse pairs of formalized operations, such as multiplication and division, provide obvious examples of this reversibility. However, there are exceptions, such as multiplying by 0. If we are to follow Piaget's lead in defining mathematics as the…

Descriptors: Mathematical Applications, Mathematical Formulas, Mathematics Instruction, Multiplication

Chater, Nick; Oaksford, Mike – Cognitive Science, 2013

Judea Pearl has argued that counterfactuals and causality are central to intelligence, whether natural or artificial, and has helped create a rich mathematical and computational framework for formally analyzing causality. Here, we draw out connections between these notions and various current issues in cognitive science, including the nature of…

Descriptors: Causal Models, Intelligence, Cognitive Processes, Cognitive Science

Khosroshahi, Leyla G.; Asghari, Amir H. – Australian Primary Mathematics Classroom, 2016

There is a call for enabling students to use a range of efficient mental and written strategies when solving addition and subtraction problems. To do so, students should recognise numerical structures and be able to change a problem to an equivalent problem. The purpose of this article is to suggest an activity to facilitate such understanding in…

Descriptors: Arithmetic, Addition, Subtraction, Problem Solving

Peer reviewed

Reys, Robert E., Ed.; Reys, Barbara J., Ed. – Arithmetic Teacher, 1986

Use of an ancient method of mental calculation with aliquot parts is illustrated. Other tips for helping children reason are also included. (MNS)

Descriptors: Elementary Education, Elementary School Mathematics, Mathematics Instruction, Mental Computation

Proulx, Jérôme – North American Chapter of the International Group for the Psychology of Mathematics Education, 2015

This study on the mental solving of systems of linear equations is part of a larger research program, aimed to gain a better understanding of the potential of mental mathematics activities with topics/objects other than numbers. Through outlining the study details and the activities engaged with, the paper reports on the variety of strategies…

Descriptors: Mental Computation, Mathematics Activities, Learning Strategies, Equations (Mathematics)

Groves, Susie – 1994

The Calculators in Primary Mathematics Project in Australia was a long-term investigation into the effects of the introduction of calculators on the learning and teaching of primary mathematics. The Australian project commenced with children who were in kindergarten and grade 1 in 1990, moving up through the schools to grade 4 level by 1993.…

Descriptors: Arithmetic, Calculators, Elementary Education, Elementary School Students

Peer reviewed

Moore, Theodore F. – Mathematics Teacher, 1986

Presents a technique for multiplying two-digit numbers whose tens digits are equal and whose units digits have a sum of 10. Then various mental calculations with other types of two-digit and larger numbers are discussed. (MNS)

Descriptors: Computation, Learning Activities, Mathematics Instruction, Mental Computation

Thompson, Ian – Mathematics Teaching, 2011

Ever since "mental arithmetic" was updated to "mental calculation," official documents have succeeded in perpetuating several basic misconceptions and misunderstandings about this topic. This situation does not augur well for the successful teaching of mental calculation strategies to young children. In this article, the author…

Descriptors: Mental Computation, Arithmetic, Misconceptions, Mathematics Instruction

Barton, Bill, Ed.; Irwin, Kathryn C., Ed.; Pfannkuch, Maxine, Ed.; Thomas, Michael O. J., Ed. – 2002

This document contains the proceedings of the 25th annual conference of the Mathematics Education Research Group of Australia (MERGA) held at the University of Auckland, New Zealand. The focus of this meeting is mathematics education in the South Pacific. Presentations are centered around the topic of numeracy in primary or elementary school.…

Descriptors: Arithmetic, Curriculum Development, Elementary Secondary Education, Foreign Countries

Pinhas, Michal; Pothos, Emmanuel M.; Tzelgov, Joseph – Journal of Experimental Psychology: Learning, Memory, and Cognition, 2013

The representation of numbers is commonly viewed as an ordered continuum of magnitudes, referred to as the "mental number line." Previous work has repeatedly shown that number representations evoked by a given task can be easily altered, yielding an ongoing discussion about the basic properties of the mental number line and how malleable…

Descriptors: Evidence, Numbers, Number Concepts, Number Systems

Chen, Sandra – Crystal Springs Books, 2008

"Singapore Math: Place Value, Computation & Number Sense" is a six-part presentation on CD-ROM that can be used by individual teachers or an entire school. The author takes primary to upper elementary grade teachers through place value skills with each of the computational operations: addition, subtraction, multiplication, and division. She gives…

Descriptors: Computation, Computer Uses in Education, Mathematical Logic, Algebra

Guo, Feng; Li, Shaozi; Dai, Ying; Zhou, Changle; Lin, Ying – International Journal of Distance Education Technologies, 2011

Spirit diagnosing is an important theory in TCM (Traditional Chinese Medicine), by which a TCM doctor can diagnose a patient's body state. But this theory is complicated and difficult to master simply learned from books. To further the theory and skill of spirit diagnosing, in this paper, the authors propose a remote education system that can…

Descriptors: Medicine, Asian Culture, Human Body, Health