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Nigmatulin, Ravil; Vaguina, Mariya – International Journal of Mathematical Education in Science and Technology, 2022
The topic of recurrence relations has recently been introduced in many discrete mathematics textbooks. Recurrence relations are efficient modelling and problem-solving techniques used in mathematics. Combinatorial problems are often used to introduce recurrence relations. However, many textbooks consider problems that can be reduced only to the…
Descriptors: Teaching Methods, Mathematics Instruction, Problem Solving, Textbooks
Ferrarello, Daniela; Gionfriddo, Mario; Grasso, Federico; Mammana, Maria Flavia – ZDM: Mathematics Education, 2022
The objective of this work is to show an educational path for combinatorics and graph theory that has the aim, on one hand, of helping students understand some discrete mathematics properties, and on the other, of developing modelling skills through a robust understanding. In particular, for the path proposed to middle-school students, we used a…
Descriptors: Graphs, Mathematics, Mathematical Models, Middle School Students
Snapp, Robert R.; Neumann, Maureen D. – Mathematics Teaching in the Middle School, 2015
The rapid growth of digital technology, including the worldwide adoption of mobile and embedded computers, places new demands on K-grade 12 educators and their students. Young people should have an opportunity to learn the technical knowledge of computer science (e.g., computer programming, mathematical logic, and discrete mathematics) in order to…
Descriptors: Educational Technology, Technology Uses in Education, Learning Activities, Middle School Students
Wheeler, Ann; Champion, Joe – Mathematics Teaching in the Middle School, 2016
Students are faced with many transitions in their middle school mathematics classes. To build knowledge, skills, and confidence in the key areas of algebra and geometry, students often need to practice using numbers and polygons in a variety of contexts. Teachers also want students to explore ideas from probability and statistics. Teachers know…
Descriptors: Probability, Middle School Students, Mathematics, Mathematics Instruction
Andre, Robert; Wiest, Lynda R. – Mathematics Teaching in the Middle School, 2007
Sorting networks, used in graph theory, have instructional value as a skill- building tool as well as an interesting exploration in discrete mathematics. Students can practice mathematics facts and develop reasoning and logic skills with this topic. (Contains 4 figures.)
Descriptors: Mathematics Instruction, Graphs, Mathematical Concepts, Mathematical Logic
Robichaux, Rebecca R.; Rodrigue, Paulette R. – Mathematics Teaching in the Middle School, 2006
This article describes a middle school discrete mathematics lesson that uses the context of catching crawfish to provide students with a hands-on experience related to Euler circuits and paths. The lesson promotes mathematical communication through the use of cooperative learning as well as connections between mathematics and the real world…
Descriptors: Teaching Methods, Cooperative Learning, Mathematics Instruction, Middle School Students
Retnowati, Endah, Ed.; Suprapto, Ed.; Jerusalem, Mohammad Adam, Ed.; Sugiyarto, Kristian, Ed.; Wagiran, Ed. – Routledge, Taylor & Francis Group, 2018
This proceedings volume of InCoTEPD 2018 covers many ideas for handling a wide variety of challenging issues in the field of education. The outstanding ideas dealing with these issues result in innovation of the system. There are many innovation strategies resulting from recent research that are discussed in this book. These strategies will become…
Descriptors: Educational Innovation, Knowledge Level, Skill Development, Vocational Education
What Works Clearinghouse, 2007
"Saxon Math" curricula and materials are available for grades K through 12, with the content and skills designed to meet National Council of Teachers of Mathematics (NCTM) standards and various state standards. This WWC report focuses on middle school math curricula, defined as all Saxon Math curricula for grades 6 through 9. The…
Descriptors: Intervention, State Standards, Word Problems (Mathematics), Mathematics Teachers
Berger, Nathan; Mackenzie, Erin; Holmes, Kathryn – Australian Educational Researcher, 2020
Australia has seen declining numbers of students choosing mathematics and science subjects in the senior secondary years, running counter to economic projections of an accelerating need for science and mathematics skills. Many students become less engaged with these subjects in the junior secondary years but attitudes such as self-concept, utility…
Descriptors: Foreign Countries, Junior High School Students, Grade 8, Student Attitudes
Valentine, Keri Duncan; Theodore, J. Kopcha – Journal for Research in Mathematics Education, 2020
Current reforms in geometry seek to challenge prevailing ideas about "what it means to do mathematics" (p. 139) by engaging learners in "the grasping of space" (p. 241). This study takes up this challenge by investigating problematizing activity as an embodied phenomenon among 21 eighth-grade learners who engaged with spatial…
Descriptors: Middle School Students, Mathematics Education, Mathematics Skills, Problem Solving
Bartolucci, Francesco; Pennoni, Fulvia; Vittadini, Giorgio – Journal of Educational and Behavioral Statistics, 2023
In order to evaluate the effect of a policy or treatment with pre- and post-treatment outcomes, we propose an approach based on a transition model, which may be applied with multivariate outcomes and accounts for unobserved heterogeneity. This model is based on potential versions of discrete latent variables representing the individual…
Descriptors: Causal Models, Multivariate Analysis, Markov Processes, Human Capital
Boote, Stacy K.; Boote, David N. – Elementary School Journal, 2017
Students often struggle to interpret graphs correctly, despite emphasis on graphic literacy in U.S. education standards documents. The purpose of this study was to describe challenges sixth graders with varying levels of science and mathematics achievement encounter when transitioning from interpreting graphs having discrete independent variables…
Descriptors: Elementary School Mathematics, Elementary School Students, Middle School Students, Grade 6
Boyce, Steven; Moss, Diana – International Journal for Mathematics Teaching and Learning, 2022
We discuss the evolution of an instructional unit for supporting prospective elementary and middle grades' teachers' conceptions of fractions as measures. We first studied prospective teachers' conceptions of fractions using a task-based written assessment with discrete, linear, and circle representations. We designed an instructional unit that…
Descriptors: Preservice Teachers, Elementary School Teachers, Middle School Teachers, Fractions
Zheng, Guoguo; Fancsali, Stephen E.; Ritter, Steven; Berman, Susan R. – Journal of Learning Analytics, 2019
If we wish to embed assessment for accountability within instruction, we need to better understand the relative contribution of different types of learner data to statistical models that predict scores and discrete achievement levels on assessments used for accountability purposes. The present work scales up and extends predictive models of math…
Descriptors: Formative Evaluation, Predictor Variables, Summative Evaluation, Scores
Kiliç, Seval Deniz; Masal, Ercan – International Journal of Psychology and Educational Studies, 2019
With the understanding of importance of pedagogical content knowledge, professional noticing has become one of the research subjects of the mathematics educators for the last 10 years. This qualitative study which explores secondary school students' solution processes regarding the concept of equation ,one of the main components of algebraic…
Descriptors: Secondary School Students, Student Attitudes, Preservice Teachers, Observation