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Heap, Bryan – ProQuest LLC, 2018

Technology continues to advance the pace of American education. Each year school districts across the country invest resources into computers, software, technology specialists, and staff development. The stated goal given to stakeholders is usually to increase student achievement, increase motivation, or to better prepare students for the future.…

Descriptors: Influence of Technology, Telecommunications, Handheld Devices, Mathematics Instruction

Ihrig, Lori M.; Lane, Erin; Mahatmya, Duhita; Assouline, Susan G. – Journal for the Education of the Gifted, 2018

High-achieving students in economically disadvantaged, rural schools lack access to advanced coursework necessary to pursue science, technology, engineering, and mathematics (STEM) educational and employment goals at the highest levels, contributing to the excellence gap. Out-of-school STEM programming offers one pathway to students' talent…

Descriptors: STEM Education, High Achievement, Economically Disadvantaged, Rural Areas

Lappas, Pantelis Z.; Kritikos, Manolis N. – Higher Education Studies, 2018

The main objective of this paper is to propose a didactic framework for teaching Applied Mathematics in higher education. After describing the structure of the framework, several applications of inquiry-based learning in teaching numerical analysis and optimization are provided to illustrate the potential of the proposed framework. The framework…

Descriptors: Active Learning, Inquiry, Mathematics Instruction, Teaching Methods

Kamber, Dina; Takaci, Djurdjica – International Journal of Mathematical Education in Science and Technology, 2018

In this paper, research on some problematic aspects high school students have in learning trigonometry is presented. It is based on making sense of mathematics through perception, operation and reason in the case of trigonometry. We analyzed students' understanding of trigonometric concepts in the frame of triangle and circle trigonometry…

Descriptors: Trigonometry, Mathematics Instruction, Secondary School Mathematics, High School Students

Daher, Wajeeh; Musallam, Nadera – International Journal of Mathematical Education in Science and Technology, 2018

The angle topic is central to the development of geometric knowledge. Two of the basic concepts associated with this topic are the adjacent and opposite angles. It is the goal of the present study to analyze, based on the cultural historical semiotics framework, how high-achieving seventh grade students objectify the adjacent and opposite angles'…

Descriptors: Geometric Concepts, Grade 7, High Achievement, Mathematics Instruction

Lee, Wha-Suck; Engelbrecht, Johann; Moller, Rita – International Journal of Mathematical Education in Science and Technology, 2018

Tensor calculus is critical in the study of the vector calculus of the surface of a body. Indeed, tensor calculus is a natural step-up for vector calculus. This paper presents some pitfalls of a traditional course in vector calculus in transitioning to tensor calculus. We show how a deeper emphasis on traditional topics such as the Jacobian can…

Descriptors: Calculus, Algebra, Geometric Concepts, Mathematics Instruction

Sinitsky, Ilya; Stupel, Moshe; Sinitsky, Marina – International Journal of Mathematical Education in Science and Technology, 2018

The paper explores the division of a polygon into equal-area pieces using line segments originating at a common point. The mathematical background of the proposed method is very simple and belongs to secondary school geometry. Simple examples dividing a square into two, four or eight congruent pieces provide a starting point to discovering how to…

Descriptors: Geometric Concepts, Plane Geometry, Arithmetic, Mathematics Instruction

Akhtyamov, Azamat; Amram, Meirav; Mouftakhov, Artour – International Journal of Mathematical Education in Science and Technology, 2018

In this paper, we reconstruct matrices from their minors, and give explicit formulas for the reconstruction of matrices of orders 2 × 3, 2 × 4, 2 × n, 3 × 6 and m × n. We also formulate the Plücker relations, which are the conditions of the existence of a matrix related to its given minors.

Descriptors: Matrices, Algebra, Mathematics Instruction, Mathematical Models

Eichhorn, Melinda S. – International Journal of Research in Education and Science, 2018

When teachers conduct a universal screening in mathematics, they identify students who are struggling with mathematical content and adjust their instruction. In this mixed-methods study in Kolkata, India, teachers piloted a screening tool at the beginning of the academic year in 5th grade to determine students' (n = 171) understanding of…

Descriptors: Fractions, Mathematics Instruction, Mixed Methods Research, Foreign Countries

Albalawi, Abdullah S. – International Journal of Research in Education and Science, 2018

This study aimed at investigating the effectiveness of using flipped classrooms in teaching the Math2 course for the preparatory year's students at the University of Tabuk, Saudi Arabia. The Math2 course was organized via an (ADDE) design model, with recorded videos of the topics included in the study; it was implemented by a Moodle platform and…

Descriptors: Foreign Countries, Educational Technology, Technology Uses in Education, Homework

Hong, Dae S.; Choi, Kyong Mi – International Journal of Research in Education and Science, 2018

In this study, we analyzed and compared reasoning and proving opportunities in geometry lessons from American standard-based textbooks and Korean textbooks to understand how these textbooks provide student opportunities to engage in reasoning and proving activities. Overall, around 40% of exercise problems in Core Plus Mathematics Project (CPMP)…

Descriptors: Textbooks, Comparative Analysis, Geometry, Mathematics Instruction

Arikan, Serkan; van de Vijver, Fons J. R.; Yagmur, Kutlay – International Journal of Research in Education and Science, 2018

We examined Differential Item Functioning (DIF) and the size of cross-cultural performance differences in the Programme for International Student Assessment (PISA) 2012 mathematics data before and after application of propensity score matching. The mathematics performance of Indonesian, Turkish, Australian, and Dutch students on released items was…

Descriptors: Probability, Test Bias, Mathematics Instruction, Foreign Countries

Letwinsky, Karim Medico; Cavender, Monica – International Journal of Research in Education and Science, 2018

Many preservice teacher (PST) programs throughout the world are preparing students to implement the Core Standards, which require deeper conceptual understandings of mathematics and an informed approach for teaching. In this qualitative multi-case study, researchers explored the teaching methods for two university instructors and changes in PSTs…

Descriptors: Preservice Teachers, Beliefs, Student Attitudes, Mathematics Instruction

Bozkurt, Ali – International Journal of Research in Education and Science, 2018

This study examined pre-service teachers' accuracy for geometric constructions with dynamic geometry software, their justification for the accuracy of geometric figures, and their awareness they gained throughout the process. The data come from a sample of 71 elementary grade pre-service teachers activity form completed as a part of geometry…

Descriptors: Accuracy, Preservice Teachers, Geometric Concepts, Phenomenology

Guler, Hatice Kubra; Gurbuz, Mustafa Cagri – International Journal of Research in Education and Science, 2018

The main purpose of this study is to investigate mathematics teachers' mathematical thinking process while they are constructing the length of [cube root of 2] by paper folding. To carry out this aim, two teachers--who are PhD. students--were interviewed one by one. During the construction, it was possible to observe the consolidation process of…

Descriptors: Paper (Material), Teaching Methods, Mathematics Instruction, Mathematics Teachers