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Sandefur, James; Lockwood, Elise; Hart, Eric; Greefrath, Gilbert – ZDM: Mathematics Education, 2022
In this paper, we provide an overall perspective on the teaching and learning of discrete mathematics. Our aim is to highlight what research has been conducted in this area and to connect it to existing research ideas for future work. We begin by characterizing discrete mathematics and its role in the school curriculum, highlighting themes,…
Descriptors: Mathematics Instruction, Teaching Methods, Mathematics Education, Relevance (Education)
Colipan, Ximena; Liendo, Alvaro – ZDM: Mathematics Education, 2022
In this paper we present a theoretical discussion on how problems issued from discrete mathematics can develop the attitudes, skills, and knowledge required for scientific mathematical activity in the classroom. We do so via the research situation for the classroom model by performing mathematical and didactical analyses of a problem issued from…
Descriptors: Mathematics Instruction, Preadolescents, Early Adolescents, Geometry
Ivanov, O. A.; Ivanova, V. V.; Saltan, A. A. – International Journal of Mathematical Education in Science and Technology, 2017
In this paper, we discuss examples of assignments for a course in discrete mathematics for undergraduate students majoring in business informatics. We consider several problems with computer-based solutions and discuss general strategies for using computers in teaching mathematics and its applications. In order to evaluate the effectiveness of our…
Descriptors: Algebra, Mathematics Instruction, Undergraduate Students, Computer Uses in Education
Viliam, Duriš; Dalibor, Gonda; Anna, Tirpáková; Pavlovicová, Gabriela – Education Sciences, 2021
The presented paper is devoted to the new teaching model of congruences of computer science students within the subject of discrete mathematics at universities. The main goal was to create a new model of teaching congruences on the basis of their connection with Diophantine equations and subsequently to verify the effectiveness and efficiency of…
Descriptors: Mathematics Instruction, Equations (Mathematics), College Mathematics, Computer Science Education
Mehdi, Riyadh; Nachouki, Mirna – Education and Information Technologies, 2023
Predicting student's successful completion of academic programs and the features that influence their performance can have a significant effect on improving students' completion, and graduation rates and reduce attrition rates. Therefore, identifying students are at risk, and the courses where improvements in content, delivery mode, pedagogy, and…
Descriptors: Foreign Countries, Grade Point Average, Graduation, Time to Degree
Sulfiah, Sitti Karimah; Cholily, Yus Mochamad; Subaidi, Agus – Journal of Research and Advances in Mathematics Education, 2021
The ability to understand mathematics is a faculty crucial to be possessed by pre-service teachers who will enter into the education sphere. It is one of the professional competencies essential for teachers since satisfactory lessons' delivery engenders more comprehensible instruction in teachers' students. Qualitative research employs a…
Descriptors: Teacher Competencies, Preservice Teachers, Mathematics Teachers, Probability
Jordán, Cristina; Magreñán, Ángel Alberto; Orcos, Lara – Education Sciences, 2019
The changes in our society in recent years and the consequent idiosyncrasy of young people demand new teaching methodologies. The methodology known as flip teaching, in which pupils study the subject before the class experience, using the material given by the teacher, makes it possible to turn the classroom into a place to solve different…
Descriptors: Advanced Courses, Mathematics Instruction, Blended Learning, Video Technology
Fridenfalk, Mikael – International Association for Development of the Information Society, 2013
A system was developed for automatic generation of problems and solutions for examinations in a university distance course in discrete mathematics and tested in a pilot experiment involving 200 students. Considering the success of such systems in the past, particularly including automatic assessment, it should not take long before such systems are…
Descriptors: Automation, College Mathematics, Item Banks, Test Items
Alhaddad, Idrus; Kusumah, Yaya S.; Sabandar, Jozua; Dahlan, Jarnawi A. – Indonesian Mathematical Society Journal on Mathematics Education, 2015
This research aims to investigate, compare, and describe the achievement and enhancement of students' mathematical communication skills (MCS). It based on the prior mathematical knowledge (PMK) category (high, medium and low) by using Treffinger models (TM) and conventional learning (CL). This research is an experimental study with the population…
Descriptors: Mathematics Skills, Teaching Methods, Mathematics Achievement, Instructional Effectiveness
Robson, Daphne; Kennedy, Dave – Mathematics Education Research Group of Australasia, 2013
Tablet PCs were used interactively in a Discrete Mathematics course in the first year of a Computing degree. The main benefit expected was an improvement in student engagement, but peer instruction was very evident and the ability to display many student answers led to very effective and immediate feedback, particularly when incorrect answers were…
Descriptors: Educational Technology, Technology Uses in Education, Handheld Devices, Telecommunications
Martínez-Sierra, Gustavo; Arellano-García, Yurdia; Hernández-Moreno, Antonia – International Journal of Science and Mathematics Education, 2022
Little is known about discrete emotions experienced by mathematics teachers beyond mathematics anxiety in elementary school. In order to fill this gap, the aim of this research is to identify emotions, and their triggering situations, experienced by secondary school Mexican mathematics teachers inside and outside of the classroom. This research…
Descriptors: Secondary School Teachers, Mathematics Teachers, Psychological Patterns, Foreign Countries
Narli, Serkan; Baser, Nes'e – Online Submission, 2010
To explore the effects of constructivist learning environment on prospective teachers' opinions about "mathematics, department of mathematics, discrete mathematics, countable and uncountable infinity" taught under the subject of Cantorian Set Theory in discrete mathematics class, 60 first-year students in the Division of Mathematics…
Descriptors: Constructivism (Learning), Experimental Groups, Control Groups, Mathematics Education
Poon, Kin-Keung; Shiu, Wai-Chee – International Journal of Mathematical Education in Science and Technology, 2008
In this note, we will focus on several applications on the Dirichlet's box principle in Discrete Mathematics lesson and number theory lesson. In addition, the main result is an innovative game on a triangular board developed by the authors. The game has been used in teaching and learning mathematics in Discrete Mathematics and some high schools in…
Descriptors: Foreign Countries, Number Concepts, Mathematics Instruction, Mathematical Concepts
Lubis, Asrin; Nasution, Andrea Arifsyah – International Education Studies, 2017
Mathematical reasoning in logical context has now received much attention in the mathematics curriculum documents of many countries, including Indonesia. In Indonesia, students start formally learning about logic when they pursue to senior-high school. Before, they previously have many experiences to deal with logic, but the earlier assignments do…
Descriptors: Mathematics Instruction, Higher Education, Mathematical Logic, Foreign Countries
Lehmann, Timothy H. – International Journal of Science and Mathematics Education, 2022
Network analysis is a topic in secondary mathematics education of growing importance because it offers students an opportunity to understand how to model and solve many authentic technology and engineering problems. However, very little is known about how students make sense of the algorithms typically used in network analysis. In this study, I…
Descriptors: Mathematics, Computation, Network Analysis, Secondary School Mathematics