Mathematical Problem Solving

The program was designed to set up to organize, structure, and discuss the academic agenda of mathematical problem solving and its developments. The program included an open invitation to the mathematics education community to contribute and reflect on research and practicing issues that involve: (a) Addressing the origin, characterization, and foundation of mathematical problem solving, (b) discussing problem solving frameworks used to support research and curricula reforms in mathematical problem solving; (c) analyzing local and international research programs in mathematical problem solving; (d) discussing curriculum proposals that support the development of mathematical problem solving; (e) analyzing different ways to assess mathematical problem solving performances; (f) discussing the role played by the use of different digital tools in students’ development of mathematical problem solving proficiency; (g) addressing programs that foster learners’ development of problem solving approaches beyond school; and (h) identifying future developments of the field.

[1]  Kiran S. Kedlaya,et al.  The William Lowell Putnam Mathematical Competition, 1985-2000 : problems, solutions, and commentary , 2002 .

[2]  Alexander Soifer,et al.  Mathematics as Problem Solving , 1988 .

[3]  Martin Gardner,et al.  New Mathematical Diversions , 1966 .

[4]  Frank Diederich,et al.  Elementary Analysis The Theory Of Calculus , 2016 .

[5]  Jeremy Kilpatrick,et al.  The Stanford mathematics problem book: with hints and solutions , 1974 .

[6]  Hugo Steinhaus,et al.  One Hundred Problems in Elementary Mathematics , 2016 .

[7]  Martin Gardner Mathematical Puzzle Tales , 2000 .

[8]  M. Gardner Mathematical Magic Show , 1978 .

[9]  Martin Gardner,et al.  Wheels, life, and other mathematical amusements , 1983 .

[10]  Elvira Rapaport,et al.  Hungarian Problem Book II: Solutions , 1963 .

[11]  Titu Andreescu,et al.  Mathematical Olympiads : problems and solutions from around the world , 2003 .

[12]  Ross Honsberger,et al.  Mathematical chestnuts from around the world , 2001, The Dolciani mathematical expositions.

[13]  Ross Honsberger,et al.  Ingenuity in Mathematics: NEW MATHEMATICAL LIBRARY , 1970 .

[14]  Martin Gardner,et al.  Time Travel And Other Mathematical Bewilderments , 1987 .

[15]  Joe Flowers,et al.  Principles of Mathematical Problem Solving , 1998 .

[16]  John F. Rigby,et al.  Traditional Japanese mathematics problems of the 18th and 19th centuries , 2002 .

[17]  Martin Gardner,et al.  Further Mathematical Diversions , 1971 .

[18]  Loren C. Larson,et al.  Problem-Solving Through Problems , 1984 .

[19]  A. M. I︠A︡glom,et al.  Problems from various branches of mathematics , 1987 .

[20]  Samuel L. Greitzer,et al.  International mathematical olympiads, 1959-1977 , 1978 .

[21]  Kenneth S. Williams,et al.  The Red Book: 100 Practice Problems for Undergraduate Mathematics Competitions , 1988 .

[22]  Elvira Rapaport,et al.  Hungarian Problem Book II: Hungarian Problem Book , 1963 .

[23]  Marcin E. Kuczma International Mathematical Olympiads 1986–1999 , 2003 .

[24]  L. M. Kelly,et al.  The William Lowell Putnam Mathematical Competition, Problems and Solutions: 1938-1964. , 1981 .

[25]  M. Gardner Knotted doughnuts and other mathematical entertainments , 1986 .

[26]  Murray S. Klamkin,et al.  Problems from Murray Klamkin: The Canadian Collection , 2009 .

[27]  Leonard F. Klosinski,et al.  The William Lowell Putnam mathematical competition: problems and solutions: 1965-1984 , 1985 .