Mathematically | Bibliography

ביבליוגרפיה להעשרה במתימטיקה ובתחומים נלווים

הספרים ברשימה מסווגים לפי הקטגוריות הבאות:

(1) ספרים ברמה אקדמית, העשרה והעמקה למורים, רעיונות להעשרה בכיתה.

(2) העשרה לתלמידים.

(3) היסטוריה ופילוסופיה של המתימטיקה, מתימטיקה כתרבות ובתרבות, ביוגרפיות.

(4) קוריוזים, שעשועים, פנטזיות ונושאים המוצגים בצורה מקורית או מיוחדת.

(5) דידאקטיקה ופדגוגיה.

(6) לוגיקה, חידות הגיון ופרדוקסים.

· Abbott, Edwin: Flatland. Dover, 1952. (4)

· Albers, D. & Alexanderson, G.L.: Mathematical People. Birkhauser, 1985. (3)

· Apostol, Tom & others (ed.): Selected Papers on Precalculus. MAA, 1977. (2, 5)

· Apostol, Tom: Introduction to Analytic Number Theory. Springer-Verlag, 1976. (1)

· Barrow, John: Pi in the Sky. Oxford, 1992. (3)

· Beckman, Petr: A History of p. St. Martin’s Press, 1971. (3)

· Beiler, Albert: Recreations in the Theory of Numbers. Dover, 1966. (1,4)

· Bell, Eric Temple: Mathematics, Queen and Servant of Science. MAA, 1987. (3)

· Bell, Eric Temple: The Last Problem. MAA, 1990. (3)

· Boas, Ralph Philip: A Primer of Real Functions. MAA, 1981. (1)

· Boas, Ralph Philip: Invitation to Complex Analysis. Random House, 1987. (1)

· Bollobas, Bela (ed.): Littlewood’s Miscellany. Cambridge, 1986. (1, 3)

· Boyer, Carl: A History of Mathematics. Wiley, 1989. (3)

· Brown, Richard: Transformational Geometry. Dale Seymour, 1973. (2)

· Bryant, Victor. Aspects of Combinatorics. Cambridge, 1992. (1)

· Bryant, Victor. Metric Spaces. Cambridge, 1985. (1)

· Bryant, Victor: Yet Another Introduction To Analysis. Cambridge, 1990. (1, 4)

· Burger, Dionys: Sphereland. Harper & Row, 1983. (2)

· Cadwell, J. H.: Topics in Recreational Mathematics. Cambridge, 1966. (1)

· Carroll, Lewis: The Annotated Alice. Penguin, 1970. (4, 6)

· Cipra, Barry: Misteaks. Academic Press, 1989. (4, 5)

· Cooney, Thomas (ed.): Teaching & Learning Mathematics in the 1990s. NCTM, 1990. (5)

· Crossley, J. & others: What is Mathematical Logic?. Dover, 1990. (1, 6)

· Crouse, Richard & Sloyer, Clifford: Mathematical Questions from the Classroom. Janson, 1987. (4, 5)

· Davis , Philip & Hersh, Reuben: Descartes' Dream. Pelican, 1988. (3)

· Davis, Philip & Chinn, William: 3.1416 and All That. Birkhauser, 1985. (2)

· Davis, Philip & Hersh, Reuben: The Mathematical Experience (study edition). Birkhauser, 1995. (3)

· Devlin, Keith: Mathematics, the New Golden Age. Penguin, 1988. (3)

· Devlin, Keith: Mathematics, the Science of Patterns. Scientific American, 1994. (3)

· Dewdney, A. K.: 200% of Nothing. Wiley, 1993. (3, 4)

· Driscoll, Mark: Stories of Excellence. NCTM, 1987. (5)

· Dunham, William: Journey Through Genius. Wiley, 1990. (3)

· Dunham, William: The Mathematical Universe. Wiley, 1994. (3)

· Dunn, Angela. Mathematical Bafflers. Dover, 1980. (2, 6)

· Eisenberg, Murray. The Mathematical Method. Prentice Hall,1996. (1)

· Emmer, Michele (ed.): The Visual Mind - Art and Mathematics. MIT Press, 1993. (3)

· Enderton, Herbert: Elements of Set Theory. Academic Press. 1977. (1)

· Eves, Howard: Great Moments in Mathematics after 1650. MAA, 1981. (3)

· Farrell, M. & Farmer, W.: Secondary Mathematics Instruction. Janson, 1988. (5)

· Fey, James (ed.): Calculators in Mathematics Education. NCTM, 1992. (5)

· Finkbeiner, D. & Lindstom, W.: A Primer of Discrete Mathematics. Freeman, 1987. (1)

· Fischbein, Efraim: Intuition in Science and Mathematics. Reidel, 1987. (5)

· Fraleigh John: A First Course in Abstract Algebra. Addison-Wesley, 1989. (1)

· Freudenthal, Hans: Mathematics as an Educational Task. Reidel, 1973. (5)

· Gardner, Martin: Aha! Gotcha. Freeman, 1979. (4, 6)

· Gardner, Martin: Aha! Insight. Freeman, 1975. (4, 6)

· Gardner, Martin: Penrose Tiles to Trapdoor Ciphers. Freeman, 1989. (1, 4, 6)

· Gelbaum, B. and J. Olmsted. Theorems and Counterexamples in Mathematics. Springer, 1990. (1)

· Gemignani, Michael: Elementary Topology. Dover, 1972. (1)

· Gerstein, Larry: Discrete Mathematics and Algebraic Structures. Freeman, 1987. (1)

· Hadamard, Jacques: The Psychology of Invention in the Mathematical Field. Dover, 1954. (3)

· Halmos, Paul: I Want to be a Mathematician. Springer-Verlag, 1985. (3)

· Halmos, Paul: Naive Set Theory. Springer Verlag, 1974. (1)

· Hanna, Gila & Winchester Ian: Creativity, Thought and Mathematical Proof. Ontario Institute, 1990. (5)

· Hardy, G.H.: A Mathematician’s Apology. Cambridge. 1992. (3)

· Harel, Gershon & Dubinsky, Ed (ed.): The Concept of Function. MAA, 1992. (5)

· Hight, Donald: A Concept of Limits. Dover, 1977. (1,4)

· Hofstadter, Douglas: Godel, Escher, Bach: An Eternal Golden Braid. Penguin, 1979. (3, 4, 6)

· House, Peggy (ed.): Providing Opportunities for the Mathematically Gifted. NCTM, 1987. (5)

· Huff, Darrell: How to Lie with Statistics. Pelican, 1973. (1, 3)

· Jacobs, Harold: Geometry. Freeman, 1987. (2)

· Jacobs, Harold: Mathematics, a Human Endeavor. Freeman, 1982. (2)

· Johnson, Art: Classic Math. Dale Seymour, 1994. (2, 3, 4)

· Kelly, Gerard: Short-Cut Math. Dover, 1984. (2)

· Kenney, Margaret (ed.): Discrete Mathematics across the Curriculum. NCTM, 1991. (2, 5)

· King, Jerry: The Art of Mathematics. Plenum Press, 1992. (3)

· Klamkin, Murray. International Mathematical Olympiads 1978-1985. MAA, 1986. (2)

· Kline Morris: Mathematics, the Loss of Certainty. Oxford, 1980. (3)

· Kline, Morris: Mathematics in Western Culture. Peregrine, 1987. (3)

· Knuth, Donald & others: Mathematical Writing. MAA, 1989. (5)

· Korner, Stephan: The Philosophy of Mathematics. Dover, 1986. (3)

· Krause, Eugene: Taxicab Geometry. Dover, 1986. (1, 4)

· Krulic, Stephen (ed.): Problem Solving in School Mathematics. NCTM, 1980. (2,5)

· Lakatos, Imre: Proofs and Refutations. Cambridge, 1976. (5)

· Lindquist, Mary: Learning and Teaching Geometry. NCTM, 1987. (2, 5)

· MAA. Learn from the Masters. MAA, 1995. (1, 3, 4)

· Mahoney, Michael Sean. The Mathematical Career of Pierre de Fermat. Princeton, 1994. (3)

· Mandelbrot, Benoit: The Fractal Geometry of Nature. Freeman, 1988. (1, 4)

· Maor, Eli: e, the Story of a Number. Princeton, 1994. (2, 3)

· Maxwell, E.A.: Fallacies in Mathematics. Cambridge, 1959. (1)

· McCarty, George: Topology. Dover, 1988. (1)

· Moore, David: Statistics- Concepts and Controversies. Freeman, 1991. (2, 3)

· Mosteller, Frederick: 50 Challenging Problems in Probability. Dover, 1987. (1)

· NCTM: Assessment Standards for School Mathematics. NCTM, 1995. (5)

· NCTM: Curriculum & Evaluation Standards for School Mathematics. NCTM, 1989. (5)

· NCTM: Professional Standards for Teaching Mathematics. NCTM, 1991. (5)

· Niven, Ivan: Mathematics of Choice. MAA, 1965. (1,2)

· Niven, Ivan: Numbers- Rational and Irrational. MAA, 1961.(1, 2)

· Ore, Oystein: Graphs and their Uses. MAA, 1990. (1,2)

· Paulos, John Allen. A Mathematician Reads the Newspaper. Basic Books, 1995. (3)

· Paulos, John Allen: Beyond Numeracy. Knopf, 1991. (3, 4)

· Paulos, John Allen: Innumeracy. Penguin, 1990. (3)

· Paulos, John Allen: Mathematics and Humor. Chicago, 1980. (3, 4)

· Peitgen, Heinz-Otto: Fractals for the Classroom - Strategic Activities. Springer-Verlag & NCTM, 1992. (2)

· Peitgen, Heinz-Otto & others: Fractals for the Classroom. Springer-Verlag, 1992. (2)

· Peterson, Ivars: The Mathematical Tourist. Freeman, 1988. (3)

· Phillips, John: How to Think about Statistics. Freeman, 1992. (2, 3)

· Pinter, Charles: A Book of Abstract Algebra. McGraw-Hill, 1990. (1)

· Polya, George: How to Solve It. Penguin, 1990. (2, 5)

· Polya, George: Mathematics and Plausible Reasoning. Princeton, 1968. (5)

· Posamentier, Alfred: Challenging Problems In Algebra. Dale Seymour, 1988. (2)

· Poundstone, William: Labyrinths of Reason. Doubleday, 1988. (1, 6)

· Robert, Alain: Nonstandard Analysis. Wiley, 1988. (1)

· Rucker, Rudy: Geometry, Relativity and the Fourth Dimension. Dover, 1977. (1, 4)

· Rucker, Rudy: The Fourth Dimension. Penguin, 1986. (3, 4)

· Runion, G. & Lockwood J.: Deductive Systems. NCTM, 1978. (1, 6)

· Runion, Garth: The Golden Section. Dale Seymour, 1990. (2, 3, 4)

· Savant, Marilyn vos. The Power of Logical Thinking. St. Martin’s Press, 1996. (3, 4, 6)

· Salem, Lionel & others: The Most Beautiful Mathematical Formulas. Wiley, 1992. (3, 4)

· Sawyer, W.: A Concrete Approach to Abstract Algebra. Dover, 1978. (1)

· Schmalz, Rosemary: Out of the Mouths of Mathematicians. MAA, 1993. (3, 4)

· Sloane, Paul & MacHale Des. The Lateral Logician. QPB, 1996. (4, 6)

· Sigler, L.E.: Exercises in Set Theory. Springer-Verlag, 1976. (1)

· Simmons, George: Calculus Gems. McGraw-Hill, 1992. (3)

· Skemp, Richard: The Psychology of Learning Mathematics. Penguin, 1986. (5)

· Smith, Douglas & others: A Transition to Advanced Mathematics. Brooks-Cole, 1990. (1, 2)

· Smullyan, Raymond. What is the Name of this Book? Simon & Schuster, 1986. (4, 6)

· Sobel, Max (ed.): Readings for Enrichment in Sec. School Mathematics. NCTM, 1988. (2, 5)

· Stewart, Ian: The Problems Of Mathematics. Oxford, 1987. (3)

· Suydam, Marilyn (ed.). Alternative Courses for Secondary School Mathematics. NCTM, 1985. (5)

· Tall, David (ed.): Advanced Mathematical Thinking. Reidel, 1991. (5)

· Townsend, Michael: Discrete Mathematics. Cummings, 1987. (1)

· Trigg, Charles: 270 Mathematical Quickies. Dover, 1985. (1)

· Vanden Eynden, Charles: Elementary Number Theory. McGraw-Hill, 1987. (1, 2)

· Webb, Norman (ed.): Assessment in the Mathematics Classroom. NCTM, 1993. (5)

· Wells, David: Curious and Interesting Numbers. Penguin, 1987. (1, 4)

· White, Alvin (ed.): Essays in Humanistic Mathematics. MAA, 1993. (3, 5)

· Yaglom, A.M.: Challenging Mathematical Problems. Dover, 1987. (1)

· Young, Robert: Excursions in Calculus. MAA, 1992. (1, 2, 4)

· Willoughby, Stephen. Mathematics Education for a Changing World. ASCD, 1990. (5)

· Learn from the Masters. MAA, 1995. (1, 5)

· Velleman, Daniel: How To Prove It. Cambridge, 1994. (1)

· Mahoney, Michael Sean: The Mathematical Career of Pierre de Fermat. Princeton, 1994. (3)

· Sloane, Paul & MacHale Des: The Lateral Logician. QPB, 1996. (6)

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