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Palatnik, Alik; Sigler, Avi – International Journal of Mathematical Education in Science and Technology, 2019

The introduction of auxiliary elements as a method of solving problems in high-school geometry is considered here from two perspectives: first, to elicit recalling some known result or concretizing a definition and, second, as a means of shifting the focus and structure of the students' attention. We present and compare various examples of how…

Descriptors: Geometric Concepts, Geometry, Secondary School Mathematics, High School Students

Maxwell, Mary; Gleason, Jim – International Journal of Mathematical Education in Science and Technology, 2019

Many large universities, community colleges and some smaller four-year colleges are turning to hybrid or online instruction for remedial and entry level mathematics courses, often assessed using online exams in a proctored computer lab environment. Faculty face the task of choosing questions from a publisher's text bank with very little, if any,…

Descriptors: Item Response Theory, Test Reliability, Item Banks, Algebra

Wares, Arsalan – International Journal of Mathematical Education in Science and Technology, 2019

These notes discuss several related propositions in geometry that can be explored in a dynamic geometry environment. The propositions involve an unexpected property of quadrilaterals.

Descriptors: Geometry, Geometric Concepts, Secondary School Mathematics, High School Students

Hou, Juncheng; Nadarajah, Saralees – International Journal of Mathematical Education in Science and Technology, 2019

It is well known that two events A and B are independent if and only if . Here, we derive a condition for independence not well known. We then extend the condition for independence of n events.

Descriptors: Probability, Mathematical Concepts, Mathematics Education

Barahmand, Ali – International Journal of Mathematical Education in Science and Technology, 2019

This article seeks to explore the most important obstacles of inflexibility in mathematics teachers' behaviour in accepting new ideas, especially, while encountering a new situation. In so doing, the concept of equivalence between infinite sets, which is one of the challenging issues in mathematics teaching and learning, was selected as the…

Descriptors: Mathematics Instruction, Mathematics Teachers, Teacher Behavior, Barriers

Nortvedt, Guri A.; Siqveland, Arvid – International Journal of Mathematical Education in Science and Technology, 2019

Are students transitioning from the secondary level to university studies in mathematics and engineering adequately prepared for education at the tertiary level? In this study, we discuss the prior mathematical knowledge and skills demonstrated by Norwegian engineering ("N" = 1537) and calculus ("N" = 626) university students…

Descriptors: Mathematics Instruction, Calculus, Engineering Education, Foreign Countries

Mohammad, Abdul Moeed – International Journal of Mathematical Education in Science and Technology, 2019

We explore students choice of using computer algebra systems (CAS) in problem-solving relative to their self-reported attitude towards learning mathematics with CAS. Our research design is a case study of nine Norwegian upper-secondary mathematics students with a wide range of attitude towards CAS. Our findings on routine problems indicate that…

Descriptors: Computer Uses in Education, Student Attitudes, Problem Solving, Decision Making

Maffia, Andrea – International Journal of Mathematical Education in Science and Technology, 2019

Integrating history of mathematics in classes could be a hard task with young pupils. Indeed, original historical sources have a language that is far from the modern one. Such texts represent cultural artefacts that can give access to mathematical knowledge. The teacher can exploit such potential acting as a mediator between the mathematical signs…

Descriptors: Mathematics Instruction, Elementary School Mathematics, Elementary School Students, Elementary School Teachers

Walsh, Richard; Guerin, Aoife – International Journal of Mathematical Education in Science and Technology, 2019

This paper uses a framework established by one of the author's in a previous study and refines it to develop a rubric for mathematics tutor training in third-level education. The paper further opens the discussion on the necessity of, and practical methods for, providing high quality, efficient tutor training at third-level. Models of mathematics…

Descriptors: Mathematics Teachers, Tutors, Tutor Training, Mathematics Education

Dolores-Flores, Crisólogo; Rivera-López, Martha Iris; García-García, Javier – International Journal of Mathematical Education in Science and Technology, 2019

This paper reports the results of a research exploring the mathematical connections of pre-university students while they solving tasks which involving rates of change. We assume mathematical connections as a cognitive process through which a person finds real relationships between two or more ideas, concepts, definitions, theorems, procedures,…

Descriptors: Mathematics Instruction, Mathematical Concepts, Foreign Countries, Arithmetic

Gilboa, Nava; Kidron, Ivy; Dreyfus, Tommy – International Journal of Mathematical Education in Science and Technology, 2019

We analyze the process of constructing a definition within the theoretical framework of "Abstraction in Context." Pairs of students were engaged in a task designed to engender a need for a definition of a tangent to a graph at a given point, and lead to constructing a definition following that need. The results of our analysis point to…

Descriptors: Mathematics Instruction, Definitions, Mathematics Teachers, High School Students

Woolcott, Geoff; Chamberlain, Dan; Whannell, Robert; Galligan, Linda – International Journal of Mathematical Education in Science and Technology, 2019

Higher education faces challenges in retaining students who require a command of numeracy in their chosen field of study. This study applies an innovative combination of relative risk and social network analysis to enrolment data of a single cohort of commencing students from an Australian regional university. Relative risk, often used in…

Descriptors: Network Analysis, Undergraduate Students, Academic Persistence, Mathematics Education

Swidan, Osama; Naftaliev, Elena – International Journal of Mathematical Education in Science and Technology, 2019

This study was designed to micro-analyze the role of the design of interactive diagrams in learning-teaching the concept of the indefinite integral. The presented case study focuses on the engagement of one pair of 17-year-old students with an interactive diagram for graphically learning-teaching the indefinite integral concept. The authors…

Descriptors: Undergraduate Students, Mathematics Education, Visual Aids, Mathematical Concepts

Dogan Coskun, Sumeyra; Isiksal Bostan, Mine – International Journal of Mathematical Education in Science and Technology, 2019

The purpose of this paper is to examine the cognitive demand levels of tasks used by an in-service primary teacher during length measurement and perimeter instruction and to examine a possible link between these tasks and the teacher's mathematical knowledge in teaching. For this purpose, a case study approach was used and the data was drawn from…

Descriptors: Inservice Teacher Education, Foreign Countries, Elementary School Teachers, Grade 4

Zubi, Ibtisam Abdelhalek; Peled, Irit; Yarden, Marva – International Journal of Mathematical Education in Science and Technology, 2019

This study investigates the participation and knowledge growth of children with mathematical difficulties as they work in groups with their classmates on a year-long sequence of modelling tasks. It involves observations of a class of 23 fifth graders, 9 of whom were identified as having difficulties in mathematics. All the students worked for 8…

Descriptors: Mathematics Skills, Mathematics Instruction, Learning Problems, Grade 5