Teaching Mathematics and Developing Students' Thinking Skills

  • Alazab Mohamed Alazab Zahran أستاذ المناهج وطرق تدريس الرياضيات، كلية التربية بجامعة بنها، مصر.
Keywords: Developing Thinking Skills, Performance Competences, Modules.

Abstract

Developing students' thinking skills is one of the most important goals of teaching and learning mathematics. The present paper reviews thinking and how to develop it. It examines the meaning of thinking, its characteristics and basic components such as determination, determination, perseverance, listening to others, social intelligence, flexibility in thinking, meta cognation, and the skills needed for mathematics teachers to develop students' thinking skills. And how teacher preparation and training with regard to the development of thinking, the paper presents educational modules as a way of training for developing teacher competences which needed to develop students' thinking skills. With an integrated educational modules.

Downloads

Download data is not yet available.

Author Biography

Alazab Mohamed Alazab Zahran, أستاذ المناهج وطرق تدريس الرياضيات، كلية التربية بجامعة بنها، مصر.
Author Biography Alazab Mohamed Alazab Zahran, Professor of Mathematics Education, Benha University, Egypt.

Professor of Mathematics Education, Benha University, Egypt.

References

Abbas, M. & Al-Absi, M. (2007). Curricula and methods of teaching mathematics for the basic stage [In Arabic]. Amman: Dar Al-Masirah.
 Abu Libdeh, A. et al. (1996). Instructor in teaching [In Arabic]. Dubai: Dar Al-Qalam for Publishing and Distribution.
 Abu-Alam, R. (1987). Measurement and evaluation of academic achievement [In Arabic]. Kuwait: Dar Al-Qalam.
 Abu-Zeina, F. (1985). Mathematics, curricula and origins of teaching (2nd ed.) [In Arabic]. Amman: Dar Al-Furqan.
 Abu-Zeina, F. (1994). Curriculum and instruction of school mathematics [In Arabic]. Kuwait: Al Falah Library for Publishing and Distribution.
 Adas, M. (1996). School and teaching thinking [In Arabic]. Amman: Dar Al Fikr for Printing and Publishing.
 Al-Ali, A. (1987). Self-Learning between theory and practice. Kuwait: Publications with Chains.
 Al-Eisawy, A. (1997). (1997). Development of human intelligence [In Arabic]. Cairo: General Authority for Culture Palaces, Series of Philosophy and Science Books (4).
 Al-Hila, M. (2001). Teaching methods and strategies [In Arabic]. Al Ain: University Book House.
 Al-Khatib, A. & Al-Khatib, R. (1997). Training packages. Amman: Future House for Publishing and Distribution.
 Al-Laqani, A. (1993). Creativity: An Introduction to curriculum Development. In. Murad Wahba & Mona Abu Senna (eds.) (1993), Creativity in the School (pp. 41-55) [In Arabic]. Cairo: Goethe Institute.
 Al-Mughira, A. (1989). Methods of teaching mathematics [In Arabic]. Riyadh: King Saud University, Deanship of Library Affairs.
 Alriyashi, H. & Murad, M. (1997). Effect of interaction between some strategies of teaching algebraic generalizations and the cognitive approach of teacher and student on achievement and mathematical thinking in preparatory education [In Arabic]. Journal of Faculty of Education, Banha University, 8(29), 147-196.
 Al-Sharef, H. (1996). Introduction to mathematics teaching [In Arabic]. Tripoli: Open University.
 Ashton, F. (1988). Teaching higher-order thinking and content: An essential ingredient in teacher preparation. Gainesville, FL: University of Florida.
 Ayoub, L. & Al-Sawalma, Y. (1993). Methods of teaching mathematics for primary and elementary primary schools [In Arabic]. Oman: Ministry of Education.
 Bakhsh, H. (1994). Effective teaching of natural sciences for the secondary stage in the light of educational competencies [In Arabic]. Cairo: Al-Shorouk Press.
 Barba, R. & Merchant, L. (1990). The effects of generative cognitive strategies in science software. Journal of Computers in Mathematics and Science Teaching, 10(1), 59-65.
 Beyer, B. (1987). Practical strategies for the teaching of thinking. Boston: Allyn and Bacon Inc.
 Bonnie, P. (1994). Strategies for teaching critical thinking. ERIC Document Reproduction Service.
 Bress, S. & Alvin, S. (1991). S+T+R+O+N+G kids life skills program: Levels K-5. ERIC Document Reproduction Service, ED389970.
 Brualdi, A. (1998). Classroom questions, practical assessment. ERIC Document Reproduction Service.
 Castl, M. & Lewis, C. (1996). Bringing mathematics to life. Teaching Children Mathematics, 3(3), 134-135.
 Coffey, O. & Knoll, J. (1998). Choosing life skills: A guide for selecting life skills programs for adult and juvenile offenders. ERIC Document Reproduction Service, ED418367.
 Cotton, K. (1991). Teaching thinking skills. School Improvement Research Series, 1-22.
 El-Taweel, G. (1991). Effectiveness of using the learning cycle method on the development of mathematical thinking and the trend towards mathematics and achievement in a sample of first grade students in Qatar [In Arabic]. Unpublished Doctoral Thesis, Tanta University: Faculty of Education.
 Hendam, Y. (1982). Teaching mathematics [In Arabic]. Cairo: Dar Al-Nahda Al-Arabiya.
 Henningsen, M. & Stein, K. (1997). Mathematical tasks and student cognition: classroom-based factors that support and inhibit high-level mathematical thinking and reasoning. Journal for Research in Mathematics Education, 28(5), 524-549.
 Hout, J. (1998). Understanding thought processes for improved teaching of thinking. NY: Learning Resource.
 Ibrahim, M. (2000). Development of mathematics curricula, the old new topic [In Arabic]. Journal of Mathematics Education, Egyptian Society for Mathematics Education, 3, 13-36.
 Jaber Abdel-Hamid, J. et al. (1997). Teaching Skills [In Arabic]. Cairo: Dar Al-Nahda Al-Arabiya.
 Jameh, H. (1986). Self-Learning and its educational applications [In Arabic]. Kuwait: Kuwait Foundation for the Advancement of Sciences.
 Jerwan, F. (1999). Teaching thinking, concepts and applications [In Arabic]. Al Ain: University Book House.
 Joan, G. (1990). Life skills mastery for students with special needs. ERIC Document Reproduction Service, ED321502.
 John , W. & Alan , R. (1975). Logical reasoning ability and verbal behavior within the mathematics classroom. Journal for Research in Mathematics Education, 6(1).
 Karam, I. (1993). Curriculum and development of thinking skills [In Arabic]. Journal of Contemporary Education, Alexandria: Dar Al-Maarifah al-Jami'a, (6), March, 185-205.
 Kegan, R. (1994). In over our heads: The mental demands of modern life. Cambridge, MA: Harvard University Press.
 Khadr, N. (1990). The effectiveness of storytelling and mathematical algorithms are combined in the development of mathematical and creative thinking for the outstanding student and the low achievement student in mathematics [In Arabic]. Journal of Education, National Committee for Education, Culture and Science, 20 Year, (97).
 Lola, M. (1993). Teaching Math: What Would you Buy? Teaching Pre K-8, 24(3).
 Mahmoud, A. (1994). Testing the ability of creative thinking in social studies to develop the creative skills of teachers and students in the preparatory stage through social studies [In Arabic]. Unpublished Doctoral Thesis, Menoufia University: Faculty of Education.
 Mahmoud, S. (1992). The effect of using problem solving in the development of mathematical thinking among secondary school students [In Arabic]. Journal of Faculty of Education, Tanta University, (16).
 Mangum, S. (1992). Career education: An opportunity lost. Future Choices, 3(2), 31-38.
 Marilyn, B. (1998). Can I balance arithmetic instruction with real-life math? Instructor, 107(7), 55-58.
 Mary, B. A. (1994). Math for horticulture student manual. ERIC Document Reproduction Service, ED369958.
 Mina, F. (1994). Issues in teaching and learning mathematics, with special reference to the Arab world (2nd ed.) [In Arabic]. Cairo: The Anglo-Egyptian Library.
 Ministry of Education (Sultanate of Oman)(2001). Guide to mathematics teacher of the first cycle of basic education [In Arabic]. Oman: Author.
 Mohamed, H. (1993). Effectiveness of mathematics courses taught by students/teachers in the division of basic education (mathematics) in developing the skill of reading and interpreting graphs [In Arabic]. Journal of Educational Sciences, Faculty of Education in Qena, Assiut University, 219-244.
 Mustafa, F. (2002). Thinking skills in the general education stage [In Arabic]. Cairo: Arab Thought House.
 National Center for Educational Research and Development (1995). Teaching for the formation of higher skills of thinking [In Arabic]. Cairo: Ministry of Education in cooperation with Author.
 Newman, F. (1990). Higher order thinking in teaching social studies: A rationale for the assessment of classroom thought fullness. Journal Of Curriculum Studies, 22(1), 42-56.
 Nickerson, R. et. al. (1985). The Teaching of thinking. Hillsdale: Erlbaum.
 Nshwati, A. (1991). Educational psychology (3rd ed.)[In Arabic]. Amman: Dar Al-Furqan Publishing and Distribution.
 Obaid, W., Al-Mufti, M. & Elia, S. (1992). Mathematics education (3rd ed.)[In Arabic]. Cairo: The Anglo-Egyptian Library.
 Orkin, W. (1996). Improving student life skills through classroom intervention and integrated learning. ERIC Document Reproduction Service, ED399494.
 Patton, J. R. et al. (1997). A life skills approach to mathematics instruction: preparing students with learning disabilities for the real-life math demands of adulthood. Journal of Learning Disabilities, 30(2), 178-187.
 Qatami, Y. (1989). The psychology of learning and classroom education [In Arabic]. Amman: Dar al-Shorouk.
 Radwan, A (1993). Primary school curriculum (3rd ed.). Kuwait: Dar Al-Qalam.
 Ristow, R. (1988). The teaching of thinking skills: does it improve creativity? Gifted Child Today, 11(2), 44-46.
 Robert, E. (1987). A taxonomy of critical thinking dispositions and abilities. In Joan , B. and Robert , J. (eds.), Teaching thinking skills: Theory and practice. New York.
 Schoenfeld , A. (1992). Learning to think mathematically: Problem solving, metacognition, and Sense-making in mathematics. In D. Grouws (ed.), Handbook for research on mathematics teaching and learning. New York: McMillan.
 Shaheen, M. (1993). Methods of teaching mathematics for primary classes (3rd ed.) [In Arabic]. Oman, Ministry of Education.
 Shawq, M. (1989). Recent trends in teaching mathematics [In Arabic]. Riyadh: Dar Al-Marikh Publishing.
 Shawq, M. (1997). Recent trends in teaching mathematics (2nd ed.) [In Arabic]. Riyadh: Dar Al-Marikh Publishing.
 Slavin, R. (1984). Research methods in education: A practical guide. New Jersey, Englewood Cliffs: Prentice – Hall, Inc.
 Snapp, J. & Glover, A. (1990). Advance organizers and study questions. Journal of Educational Research, 83(5), 266-271
 Solso, R. (1996). Cognitive psychology [In Arabic]. Translation by Mohamed Naguib al-Sabwa et al. Kuwait: Modern Thought House.
 Stein, S. (2000). Equipped for the future content standards, what adults need to know and be Able to do in the 21st century? Washington, DC: National Institute for Literacy.
 Tenenbaum, G. (1986). The effect of quality of instruction on higher and lower mental processes and on the prediction of summative achievement. Journal of Educational Research, 80(2), 105- 114.
 Terry, V. (1994). Civic mathematics: A real-life general mathematics course. Mathematics Teacher, 87(6), 366-401.
 Tillman, Y. (1994). Improving critical thinking skills in second grades through instruction and teacher led discussion groups. Unpublished Doctoral Thesis, Nova Southeastern University.
 Zaitoun, K. (1997). Teaching, models and skills [In Arabic]. Alexandria: Scientific Office of Computer, Publishing and Distribution.
Published
2017-11-12
How to Cite
Zahran, A. (2017). Teaching Mathematics and Developing Students’ Thinking Skills. International Journal of Research in Educational Sciences., 1(1), 161 - 224. Retrieved from http://www.iafh.net/index.php/IJRES/article/view/31
Section
Articles