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Dorner, Christian – International Journal of Mathematical Education in Science and Technology, 2021
This paper deals with a set of geometrical problems for mathematical problem-solving at different difficulty levels. All of these are presented as national flags and one has to investigate invariant area proportions when changing the locus of any corner of the flag. This dynamic element suggests the usage of dynamical geometry environments.…
Descriptors: Problem Sets, Geometry, Mathematics Instruction, Problem Solving
Mathematical Gazette, 1970
Seven articles present: 1) a solution to a force equilibrium problem, 2) a magic square, 3) a characteristic of right triangles, 4) a family tree of Pythagorean triples, 5) a misunderstanding which may be cleared through modern mathematics, 6) a technique for solving conversion problems, and 7) a special permatation problem. (RS)
Descriptors: Algebra, College Mathematics, Geometry, Instruction
Truckson, Erika – MATYC Journal, 1978
An elementary knowledge of geometry is shown to be helpful in problem solving, especially in that the shortest distance between two points is a straight line. (MN)
Descriptors: College Mathematics, Geometric Concepts, Geometry, Higher Education
Lucas, John F. – MATYC Journal, 1978
The author organizes some of the information known about the problem of dividing space by five planes in general position along with its extensions, and consolidates it to highlight some interesting patterns in both methods of solving analogous problems and their results. (MN)
Descriptors: College Mathematics, Geometry, Higher Education, Induction
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Anderson, David R.; Arcidiacono, Michael J. – Mathematics Teacher, 1989
Shows that the ratio of the area of the quadrilateral formed by joining the kth points to the area of the original quadrilateral is constant whether it is convex or concave quadrilateral. Presents many geoboard or dot paper diagrams and geometrical expresssions. (YP)
Descriptors: College Mathematics, Geometric Concepts, Geometric Constructions, Geometry
Soifer, Alexander – 1987
This book contains about 200 problems. It is suggested that it be used by students, teachers or anyone interested in exploring mathematics. In addition to a general discussion on problem solving, there are problems concerned with number theory, algebra, geometry, and combinatorics. (PK)
Descriptors: Algebra, College Mathematics, Geometry, Higher Education
Baenziger, Betty – 1977
By using word problems relevant to agricultural occupations, this workbook presents a concept-oriented approach to competency development in seven areas of basic mathematics: (1) the expression of numbers as figures and words; (2) the addition, subtraction, multiplication, and division of whole numbers, fractions, and decimals; (3) ratios and…
Descriptors: Addition, Agricultural Education, Basic Skills, Charts
Baenziger, Betty – 1977
Through the use of word problems relevant to the field of office occupations education, this workbook presents a concept-oriented approach to competency development in ten areas of basic mathematics: (1) the expression of numbers as figures and words; (2) the addition, subtraction, multiplication, and division of whole numbers, fractions, and…
Descriptors: Addition, Algebra, Basic Skills, College Mathematics
Baenziger, Betty – 1977
Utilizing word problems relevant to automotive mechanics, this workbook presents a concept-oriented approach to competency development in 13 areas of basic mathematics: (1) the expression of numbers as figures and words; (2) the addition, subtraction, multiplication, and division of whole numbers, fractions, and decimals; (3) scientific notation;…
Descriptors: Addition, Algebra, Auto Mechanics, Basic Skills
Baenziger, Betty – 1977
Utilizing word problems relevant to the field of environmental health, this workbook presents a concept-oriented approach to competency development in 14 areas of basic mathematics: (1) the expression of numbers as figures and words; (2) the addition, subtraction, multiplication, and division of whole numbers, fractions, and decimals; (3)…
Descriptors: Addition, Algebra, Basic Skills, College Mathematics