Problem-solving and selected topics in number theory: in the spirit of the mathematical Olympiads

2011 ◽  
Vol 49 (04) ◽  
pp. 49-2124-49-2124
Keyword(s):  
Number Theory ◽  
Problem Solving

Even Perfect Numbers—An Update

1981 ◽  
Vol 74 (6) ◽  
pp. 460-463
Author(s):  
Stanley J. Bezuszka
Keyword(s):  
Number Theory ◽  
Problem Solving ◽  
History Of Mathematics ◽  
Independent Study ◽  
History Of ◽  
Perfect Numbers ◽  
Excellent Resource

Do you have students who are computer buffs, always looking for a new problem to program efficiently? Do you have students who do independent study projects? If so, motivate them with this topic that is rich in the history of mathematics and number theory—perfect numbers. They provide an excellent resource for theoretical as well as computerized problem solving.

Teaching Teachers to Teach Mathematics

1996 ◽  
Vol 178 (1) ◽  
pp. 73-84 ◽  
Author(s):  
Rika Spungin
Keyword(s):  
Number Theory ◽  
Problem Solving ◽  
Prospective Teachers ◽  
Problem Solving Strategies

Group investigations from the areas of number theory, probability, and geometry. are presented and discussed. By working in groups, sharing ideas, and making and testing conjectures, prospective teachers gain confidence in their own ability to do mathematics and develop a variety of useful problem-solving strategies.

Polygons, Stars, Circles, and Logo

1986 ◽  
Vol 33 (9) ◽  
pp. 6-11
Author(s):  
Bill Craig
Keyword(s):  
Middle School ◽  
Elementary School ◽  
Number Theory ◽  
Problem Solving ◽  
Elementary School Students ◽  
Upper Elementary ◽  
School Students ◽  
Know How ◽  
Elementary And Middle School ◽  
Mathematical Topic

Many teacher are excited about the potential uses of Logo with elementary school students. The language give students access to mathematical topic they have not previouly explored. The following activitie uae Logo in the study of geometry, number theory, and problem solving. The activities assume that tudents are familiar with turtlegraphic commands (FORWARD, BACK, RIGHT, LEFT) and know how to define procedures. The activitie are designed for students in the upper elementary and middle school grades. The star procedure and explorations are adapted from Discovering Apple Logo by David Thornburg. The book contains excellent ideas for the use of Logo as a tool for mathematical explorations. See the Bibliography for additional resources.

A Pattern in Number Theory: Example→ Generalization→ Proof

1971 ◽  
Vol 64 (7) ◽  
pp. 661-664
Author(s):  
David R. Duncan ◽  
Bonnie H. Litwiller
Keyword(s):  
Number Theory ◽  
Problem Solving ◽  
Mathematical Induction ◽  
Whole Number

The study of patterns is an integral part of the study of mathematics. As we teach mathematics, we must point out how to search for patterns and how patterns may aid us in problem solving. The following problem is one that combines patterns, ideas from number theory, and mathematical induction: “Prove that it is possible to pay, without requiring change, any whole number of rubles (greater than 7) with banknotes of value 3 rubles and 5 rubles” (Sominskii 1964, p. 19).

Mystery Fractions

2016 ◽  
Vol 22 (1) ◽  
pp. 52-59
Author(s):  
Sonalee Bhattacharyya ◽  
Nama Namakshi ◽  
Christina Zunker ◽  
Hiroko K. Warshauer ◽  
Max Warshauer
Keyword(s):  
Number Theory ◽  
Problem Solving ◽  
Place Value ◽  
Scale Factors ◽  
Key Concepts

This activity engages students in problem solving while exploring key concepts of number theory, such as divisibility and divisibility tests, place value, fractions, and scale factors.

scholarly journals The investigation of student approach to problem solving about some topics of Number Theory

2011 ◽  
Vol 15 ◽  
pp. 3422-3425
Author(s):  
Sumeyra Ustunsoy ◽  
A.Sukru Ozdemir ◽  
Hasan Unal
Keyword(s):  
Number Theory ◽  
Problem Solving

The problem-solving approach in the teaching of number theory

2013 ◽  
Vol 45 (2) ◽  
pp. 241-255 ◽  
Author(s):  
Pee Choon Toh ◽  
Yew Hoong Leong ◽  
Tin Lam Toh ◽  
Jaguthsing Dindyal ◽  
Khiok Seng Quek ◽  
...  
Keyword(s):  
Number Theory ◽  
Problem Solving

scholarly journals Analisis Kemampuan Pemecahan Masalah Mahasiswa pada Mata Kuliah Teori Bilangan

2021 ◽  
Vol 10 (1) ◽  
pp. 61-72
Author(s):  
Erwan Setiawan ◽  
Guntur Maulana Muhammad ◽  
Muhamad Soeleman
Keyword(s):  
College Students ◽  
Number Theory ◽  
Mathematics Education ◽  
Problem Solving ◽  
Education Program ◽  
Mathematical Problem ◽  
Answer Sheet ◽  
Research Subjects ◽  
Problem Solving Skills ◽  
School Year

AbstrakTeori bilangan merupakan cabang matematika yang mempelajari sifat-sifat dan hubungan dari suatu bilangan bulat. Untuk dapat memahami materi teori bilangan dengan baik maka dibutuhkan kemampuan pemecahan masalah yang baik pula. Penelitian ini bertujuan untuk mengetahui kemampuan pemecahan masalah matematika mahasiswa pada mata kuliah teori bilangan. Subjek penelitian yaitu 26 mahasiswa program studi pendidikan matematika, FKIP, Universitas Suryakancana tingkat I tahun ajaran 2017-2018. Data penelitian yang dikaji adalah lembar jawaban mahasiswa pada Ujian Tengah Semester tahun ajaran 2017-2018. Dengan metode deskriptif kuantitatif, didapatkan hasil secara umum yang menerangkan bahwa kemampuan pemecahan masalah mahasiswa program studi pendidikan matematika FKIP Universitas Suryakancana dapat dikategorikan “cukup” (64,62%). Lebih rinci, kemampuan mahasiswa dalam merencanakan penyelesaian masalah dapat dikategorikan “baik”, dengan persentase 74,62% namun sayangnya kemampuan dalam melakukan pengecekan kembali adalah yang paling lemah, dapat dikategorikan “kurang” dengan persentase 54,62%. Hal ini yang nantinya akan menjadi dasar evaluasi dalam perbaikan pembelajaran. College Students’ Problem-Solving Skills Analysis on Number Theory CourseAbstractNumber theory is a branch of mathematics that studies the properties and relationships between an integer. Understanding the material studied in number theory well also requires good mathematical problem-solving skills. This research aims to determine college students' problem-solving skills in a number theory course. The research subjects were 26 students in the mathematics education program, FKIP, Suryakancana University level I in the 2017-2018 school year. The research data used is the student answer sheet in the Middle Semester Examination in the 2017-2018 school year. By the quantitative descriptive method, the results of the research were that the problem-solving skills of students, in the mathematics education program, FKIP, Suryakancana University, can be categorized as fair (64.62%). Specifically, the students’ skill to plan problem-solving can be categorized as good (74.62%) but the validating conclusion is the weakest one that can be categorized as poor (54.62%). This will underlie the evaluation in improving learning.

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