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Mathematical Tools for Real-World Applications: A Gentle Introduction for Students and Practitioners
Draganov, Alexandr – MIT Press, 2022
Techniques for applying mathematical concepts in the real world: six rarely taught but crucial tools for analysis, research, and problem-solving. Many young graduates leave school with a solid knowledge of mathematical concepts but struggle to apply these concepts in practice. Real scientific and engineering problems are different from those found…
Descriptors: Mathematical Concepts, Relevance (Education), College Mathematics, Engineering
Van Dooren, Wim; Vamvakoussi, Xenia; Verschaffel, Lieven – UNESCO International Bureau of Education, 2018
Proportionality can be considered among the most important mathematical notions in the middle school math curriculum (grades 5 to 8). It is the capstone of elementary arithmetic, number, and measurement concepts, and at the same time one of the most elementary understandings one needs for more advanced mathematics. Understanding proportionality is…
Descriptors: Logical Thinking, Middle School Mathematics, Mathematics Instruction, Educational Practices
Freeman-Green, Shaqwana; Person, Julie; O'Brien, Chris – Insights into Learning Disabilities, 2018
In the era of multi-tiered system of support approach to learning, identifying mathematical interventions that have been found to be effective for students who are struggling academically is imperative. Given the divide between instructional approaches in general and special education mathematical teaching approaches, it is important to bridge the…
Descriptors: Mathematics Instruction, Secondary School Students, Secondary School Mathematics, Learning Disabilities
Harnadek, Anita – 1996
This book contains "math mind benders," puzzles that are worked like crossword puzzles except that each square is filled with a digit rather than a letter. Clues to the puzzles are interrelated with each other and a given story. Clear thinking and deductive reasoning must be used to find potential answers and eliminate those that fail to meet all…
Descriptors: Class Activities, Elementary Education, Mathematical Concepts, Numbers

Friedler, Louis M. – Teaching Children Mathematics, 1996
Presents many problems involving scheduling after-school activities and tournaments that bring the topic of Euler paths to a level of understanding for elementary students. (MKR)
Descriptors: Elementary Education, Learning Activities, Mathematical Concepts, Mathematics Instruction
Posamentier, Alfred S.; Schulz, Wolfgang – 1996
This book is designed to give mathematics teachers a host of interesting and useful ideas thereby raising their consciousness level and enabling an enrichment of the mathematics instruction program. The chapters in this book capture a broad spectrum of ideas in the area of mathematics problem solving. Chapters are: (1) "Strategies for Problem…
Descriptors: Cooperative Learning, Educational Resources, Elementary Secondary Education, Mathematical Concepts
Willcutt, Bob – 1995
The books in this series provide an essential ingredient in the transition from concrete mathematical experience to the symbolic reasoning used in algebra. They aim to guide the student in building and extending manipulative patterns, collecting numerical data, and analyzing the results. The main objective of the activities in this book is for the…
Descriptors: Class Activities, Elementary Secondary Education, Mathematical Concepts, Pattern Recognition
Stoodt, Barbara D. – Learning, 1995
This column discusses five children's books selected to develop math concepts involving problem solving, reasoning, and communication. The books are "Only One" (Marc Harshman); "The Librarian Who Measured the Earth" (Kathryn Lasky); "Counting Jennie" (Helena C. Pittman); "The Search for Delicious" (Natalie Babbitt); and "The Toothpaste…
Descriptors: Book Reviews, Books, Childrens Literature, Elementary Education
Blackburn, Katie; White, David – 1983
The concept of pi is one of great importance to all developed civilization and one that can be explored and mastered by elementary students through an inductive and problem-solving approach. Such an approach is outlined and discussed. The approach involves the following biblical quotation: "And he made a moltin sea ten cubits from one brim to…
Descriptors: Elementary Education, Elementary School Mathematics, Induction, Mathematical Concepts

Ploger, Don; Fritzer, Penelope; Klingler, Lee – Teaching Children Mathematics, 1997
Presents a problem drawn from real life that addresses finding a way to cross all seven bridges of Konigsberg, Russia. Illustrates a set of simple examples and an instructional approach in order for students to make sense of a seemingly impossible problem. (ASK)
Descriptors: Elementary Education, Elementary School Mathematics, Learning Activities, Mathematical Concepts

Olson, Melfried; Sakshaug, Lynae; Olson, Judith – Teaching Children Mathematics, 1997
Presents the problem of doubling dough by creating a mixture of dough that doubles in volume every minute when placed in a warm oven. Discusses ways of proposing this question in the classroom. (ASK)
Descriptors: Elementary Education, Estimation (Mathematics), Learning Activities, Mathematical Concepts

Hoffman, Nathan – Mathematics Teacher, 1975
Descriptors: Deduction, Enrichment Activities, Geometry, Instruction

Papp, F. J. – School Science and Mathematics, 1977
The vast majority of people are most familiar with arithmetic in base ten. This article presents a follow-up on a problem with several divisibility tests valid in base ten which are related to Freitag's general test and which follow directly from it. Base 13 is also explored. (Author/MA)
Descriptors: Instructional Materials, Learning Activities, Mathematical Concepts, Mathematical Logic

Vest, Floyd – School Science and Mathematics, 1985
Develops a division algorithm in terms of familiar manipulations of concrete objects and presents it with a series of questions for diagnosis of students' understanding of the algorithm in terms of the concrete model utilized. Also offers general guidelines for using concrete illustrations to explain algorithms and other mathematical principles.…
Descriptors: Algorithms, Elementary School Mathematics, Intermediate Grades, Mathematical Concepts

Snider, Richard G. – Science Teacher, 1985
The ratio factors approach involves recognizing a given fraction, then multiplying so that units cancel. This approach, which is grounded in concrete operational thinking patterns, provides a standard for science ratio and proportion problems. Examples are included for unit conversions, mole problems, molarity, speed/density problems, and…
Descriptors: Mathematical Concepts, Problem Solving, Ratios (Mathematics), Science Education