Investigating Numeric Relationships Using an Interactive Tool: Covering Number Sense Concepts for the Middle Grades

ABSTRACT

This article investigates intriguing number patterns utilizing an emerging technology called the Square Tool. Middle School math teachers will find the Square Tool useful in making connections and bridging the gap from the concrete to the abstract. Pattern recognition helps students discover mathematical concepts. With the development of puzzles, games, and computer programs, students learn and practice the skills that are created in the mathematics classrooms. By studying patterns that exist within different number arrangements, consistencies are observed among them. Middle School students will investigate various mathematics relationships found in numbered squares including multiples, factors, ratios of comparative numbers, and other mathematical concepts.

This article investigates intriguing number patterns utilizing an emerging technology called the Square Tool. Middle School math teachers will find the Square Tool useful in making connections and bridging the gap from the concrete to the abstract. Pattern recognition helps students discover mathematical concepts. With the development of puzzles, games, and computer programs, students learn and practice the skills that are created in the mathematics classrooms. By studying patterns that exist within different number arrangements, consistencies are observed among them. Middle School students will investigate various mathematics relationships found in numbered squares including multiples, factors, ratios of comparative numbers, and other mathematical concepts.

KEYWORDS

Number Sense, Number Patterns and relationships, Puzzles, Games, Computer Programs, Number Arrange-ments, Multiples, Factors, Ratios of Comparative Numbers, Investigation, Number Squares, Number Games

Number Sense, Number Patterns and relationships, Puzzles, Games, Computer Programs, Number Arrange-ments, Multiples, Factors, Ratios of Comparative Numbers, Investigation, Number Squares, Number Games

Cite this paper

nullSu, H. , Marinas, C. & Furner, J. (2010). Investigating Numeric Relationships Using an Interactive Tool: Covering Number Sense Concepts for the Middle Grades.*Creative Education, 1,* 121-127. doi: 10.4236/ce.2010.12018.

nullSu, H. , Marinas, C. & Furner, J. (2010). Investigating Numeric Relationships Using an Interactive Tool: Covering Number Sense Concepts for the Middle Grades.

References

[1] H. F. Su, C. Marinas and C. Chraibi, “Exploring Numerical Relationship through Interactive Numbered Squares of Differing Sizes,” Proceeding of International Conference on Technology in Collegiate Mathematics, San Antonio, Vol. 20, March 2008, pp. 28-32.

[2] National Council of Teachers of Mathematics, Principles and Standards for School Mathematics, NCTM: Reston, VA, 2000.

[3] J. M. Furner, “Geometry Sketching Software: It’s Elementary Dear Euclid,” World Conference on Educational Multimedia, Hypermedia & Telecommunications, Montreal, June 30, 2005.

[4] S. Ozel, Z. E. Yetkiner and R. M. Capraro, “Technology in K-12 Mathematics Classrooms,” School Science and Mathematics, Vol. 108, No. 2, 2008, pp. 80-85.

[5] E. Wall, “Number Theory for Elementary School Teachers,” McGraw-Hill Company, New York, 2010.

[6] S. R. Overbay and M. J. Brod, “Magic with Mayan Math,” Mathematics Teaching in the Middle School, Vol. 12, No. 6, 2007, pp. 340-347.

[7] P. D. Loly and M. J. Steeds, “A New Class of Pandiagonal Squares,” International Journal of Mathematical Education in Science and Technology, Vol. 36, No. 4, 2005, pp. 375-388.

[1] H. F. Su, C. Marinas and C. Chraibi, “Exploring Numerical Relationship through Interactive Numbered Squares of Differing Sizes,” Proceeding of International Conference on Technology in Collegiate Mathematics, San Antonio, Vol. 20, March 2008, pp. 28-32.

[2] National Council of Teachers of Mathematics, Principles and Standards for School Mathematics, NCTM: Reston, VA, 2000.

[3] J. M. Furner, “Geometry Sketching Software: It’s Elementary Dear Euclid,” World Conference on Educational Multimedia, Hypermedia & Telecommunications, Montreal, June 30, 2005.

[4] S. Ozel, Z. E. Yetkiner and R. M. Capraro, “Technology in K-12 Mathematics Classrooms,” School Science and Mathematics, Vol. 108, No. 2, 2008, pp. 80-85.

[5] E. Wall, “Number Theory for Elementary School Teachers,” McGraw-Hill Company, New York, 2010.

[6] S. R. Overbay and M. J. Brod, “Magic with Mayan Math,” Mathematics Teaching in the Middle School, Vol. 12, No. 6, 2007, pp. 340-347.

[7] P. D. Loly and M. J. Steeds, “A New Class of Pandiagonal Squares,” International Journal of Mathematical Education in Science and Technology, Vol. 36, No. 4, 2005, pp. 375-388.