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Duli Pllana – Online Submission, 2024
The aim of the exploratory method research centered on the presence of mathematical tools in STEM through three main questions: Is mathematics an essential tool in the field of STEM? Can mathematics complete projects solely with mathematical and digital tools? Does understanding mathematical modeling affect STEM teaching? A better understanding of…
Descriptors: STEM Education, Mathematics, Mathematical Models, Mathematics Instruction
Kaup, Camilla Finsterbach; Pedersen, Pernille Ladegaard; Tvedebrink, Torben – Journal of Pedagogical Research, 2023
This study aimed to examine whether a computational thinking (CT) intervention related to (a) number knowledge and arithmetic (b) algebra, and (c) geometry impacts students' learning performance in primary schools. To this end, a quasi-experimental, nonequivalent group design was employed, with 61 students assigned to the experimental group and 47…
Descriptors: Foreign Countries, Elementary School Students, Control Groups, Grade 2
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
Wittmann, Michael C.; Flood, Virginia J.; Black, Katrina E. – Educational Studies in Mathematics, 2013
We show that students rearranging the terms of a mathematical equation in order to separate variables prior to integration use gestures and speech to manipulate the mathematical terms on the page. They treat the terms of the equation as physical objects in a landscape, capable of being moved around. We analyze our results within the tradition of…
Descriptors: Figurative Language, Algebra, Mathematics, Mathematics Education
Radford, Luis – REDIMAT - Journal of Research in Mathematics Education, 2013
In this article I sketch three key concepts of a cultural-historical theory of mathematics teaching and learning--the theory of objectification. The concepts are: knowledge, knowing and learning. The philosophical underpinning of the theory revolves around the work of Georg W. F. Hegel and its further development in the philosophical works of K.…
Descriptors: Mathematics Instruction, Mathematics Education, Arithmetic, Algebra
Jitendra, Asha K.; Lein, Amy E.; Star, Jon R.; Dupuis, Danielle N. – Society for Research on Educational Effectiveness, 2013
Proportional thinking, which requires understanding fractions, ratios, and proportions, is an area of mathematics that is cognitively challenging for many children and adolescents (Fujimura, 2001; Lamon, 2007; Lobato, Ellis, Charles, & Zbiek, 2010; National Mathematics Advisory Panel [NMAP], 2008) and "transcends topical barriers in adult…
Descriptors: Word Problems (Mathematics), Problem Solving, Mathematics, Mathematics Education
Bishop, Jessica Pierson; Lamb, Lisa L.; Philipp, Randolph A.; Whitacre, Ian; Schappelle, Bonnie P. – Mathematical Thinking and Learning: An International Journal, 2016
Looking for, recognizing, and using underlying mathematical structure is an important aspect of mathematical reasoning. We explore the use of mathematical structure in children's integer strategies by developing and exemplifying the construct of logical necessity. Students in our study used logical necessity to approach and use numbers in a…
Descriptors: Numbers, Arithmetic, Mathematics, Mathematics Instruction
Pope, Sue – Mathematics Teaching, 2012
Of the "big four", division is likely to regarded by many learners as "the odd one out", "the difficult one", "the one that is complicated", or "the scary one". It seems to have been that way "for ever", in the perception of many who have trodden the learning pathways through the world of…
Descriptors: Mathematics Curriculum, Arithmetic, Mathematics Education, Mathematics Instruction
Jones, Ian; Inglis, Matthew; Gilmore, Camilla; Dowens, Margaret – Journal of Experimental Child Psychology, 2012
A sophisticated and flexible understanding of the equals sign (=) is important for arithmetic competence and for learning further mathematics, particularly algebra. Research has identified two common conceptions held by children: the equals sign as an operator and the equals sign as signaling the same value on both sides of the equation. We argue…
Descriptors: Children, Factor Analysis, Symbols (Mathematics), Mathematics
Caspi, Shai; Sfard, Anna – International Journal of Educational Research, 2012
Taking as the point of departure the vision of school algebra as a formalized meta-discourse of arithmetic, we have been following five pairs of 7th grade students as they progress in algebraic discourse during 24 months, from their informal algebraic talk to the formal algebraic discourse, as taught in school. Our analysis follows changes that…
Descriptors: Grade 7, Grade 5, Arithmetic, Algebra
Lynch, Mark A. M. – International Journal of Mathematical Education in Science and Technology, 2011
A procedure for generating quasigroups from groups is described, and the properties of these derived quasigroups are investigated. Some practical examples of the procedure and related results are presented.
Descriptors: Algebra, Mathematics, Mathematics Instruction, Mathematics Education
Benson, Christine C.; Wall, Jennifer J.; Malm, Cheryl – Teaching Children Mathematics, 2013
The Common Core State Standards for Mathematics (CCSSM) call for an in depth, integrated look at elementary school mathematical concepts. Some topics have been realigned to support an integration of topics leading to conceptual understanding. For example, the third-grade standards call for relating the concept of area (geometry) to multiplication…
Descriptors: Academic Standards, State Standards, Geometric Concepts, Concept Formation
Fife, James H. – ETS Research Report Series, 2013
The m-rater scoring engine has been used successfully for the past several years to score "CBAL"™ mathematics tasks, for the most part without the need for human scoring. During this time, various improvements to m-rater and its scoring keys have been implemented in response to specific CBAL needs. In 2012, with the general move toward…
Descriptors: Mathematics, Scoring, Educational Assessment, Academic Standards
Vukovic, Rose K.; Lesaux, Nonie K. – Journal of Experimental Child Psychology, 2013
This longitudinal study examined how language ability relates to mathematical development in a linguistically and ethnically diverse sample of children from 6 to 9 years of age. Study participants were 75 native English speakers and 92 language minority learners followed from first to fourth grades. Autoregression in a structural equation modeling…
Descriptors: Longitudinal Studies, Mathematics, Language, Children
Cooper, Thomas E. – International Journal for Technology in Mathematics Education, 2012
In mathematics education, physical manipulatives such as algebra tiles, pattern blocks, and two-colour counters are commonly used to provide concrete models of abstract concepts. With these traditional manipulatives, people can communicate with the tools only in one another's presence. This limitation poses difficulties concerning assessment and…
Descriptors: Algebra, Mathematics Education, Teacher Educators, Mathematics Teachers