Establishing profiles on the use of number sense

Authors

  • Alicia Bruno La Laguna University
  • Rut Almeida University of La Laguna

https://doi.org/10.17583/redimat.2017.1910

Downloads

Abstract

Number sense includes the ability to use numbers and operations in a flexible and reasonable way. This work presents a case study on the use of number sense by eighth grade students (13-14 years old). We analyse individual interviews of eleven students that include number tasks that can be solved using strategies associated with number sense. By studying the strategies used by the students to answer the questions, we establish four profiles based on their preference for using number sense strategies, rules or algorithms, or on their lack of knowledge of basic number concepts.

Downloads

Download data is not yet available.

References

Alajmi, H., & Reys, R. (2007). Reasonable and reasonableness of answers: Kuwaiti middle school teachers’ perspectives. Educational Studies in Mathematics, 65, 77-94. doi:10.1007/s10649-006-9042-4

Google Scholar Crossref

Almeida, R., Bruno, A. & Perdomo-Díaz, J. (2014). Estrategias de sentido numérico en estudiantes del grado de matemáticas. Enseñanza de las Ciencias, 32(2), 9-34.

Google Scholar Crossref

Almeida, R., Bruno, A., & Perdomo-Díaz, J. (2016). Strategies of number sense in pre-service mathematics teachers. International Journal of Science and Mathematics Education, 14(5), 959-978.

Google Scholar Crossref

Alsawaie, O. N. (2011). Number sense- based strategies used by high- achieving sixth grade students who experienced reform textbooks. International Journal of Science and Mathematics Education, 26, 1- 27. doi:10.1007/s10763-011-9315-y

Google Scholar Crossref

Anghileri J. (2006). Teaching Number Sense. London: Continuum. Australian Education Council. (1990). A national statement on mathematics

Google Scholar Crossref

for Australian schools. Carlton, Victoria, Australia: Curriculum

Google Scholar Crossref

Corporation.

Google Scholar Crossref

Berch, D. (2005). Making sense of number sense. Journal of learning

Google Scholar Crossref

disabilities, 36(4), 333-339. doi:10.1177/00222194050380040901 Boletín Oficial del Estado (2007). Real Decreto 1631/2006, por el que se

Google Scholar Crossref

establecen las enseñanzas mínimas de la Educación Secundaria Obligatoria (BOE no. 5, 5 de enero de 2007). Spain: Ministerio de Educación.

Google Scholar Crossref

Brousseau, G. (1998). Théorie des situations didactiques. Paris: La pensée sauvage.

Google Scholar Crossref

Markovits, Z., & Sowder J. (1994). Developing number sense: an intervention study in grade 7. Journal for Research in Mathematics Education, 25(1), 4-29. doi: 10.2307/749290

Google Scholar Crossref

McIntosh, A., Reys, B. J., & Reys, R. E. (1992). A proposed framework for examining basic number sense. For the learning of mathematics, 12(3), 2-8.

Google Scholar Crossref

Methe, S. A., Hojnoski, R., Clarke, B., Owens, B. B., Lilley P.K., Politylo, B.C., White K.M., & Marcotte, A.M. (2001). Innovations and Future Directions for Early Numeracy Curriculum-Based Measurement: Commentary on the Special Series. Assessment for Effective Intervention, 36(4), 200-209. doi: 10.1177/1534508411414154

Google Scholar Crossref

Mohamed, M., & Johnny, J. (2010). Investigating number sense among Students. Procedia Social and Behavioral Science, 8, 317-324. doi:10.1016/j.sbspro.2010.12.044

Google Scholar Crossref

National Council of Teachers of Mathematics. (2000). Principles and Standars for School Mathematics. Reston, VA: National Council of Teachers of Mathematics.

Google Scholar Crossref

Reys B., & Barger R. (1991). Developing number sense in the middle grades. Reston Va: National Council of Teachers of Mathematics.

Google Scholar Crossref

Reys R., Reys B., Mcintosh A., Emanuelsson G., Johansson B., & Yang D.C. (1999). Assessing number sense of Students in Australia, Sweden, Taiwan, and the United States. School Science and Mathematics, 99(2), 61-70. doi: 10.1111/j.1949-8594.1999.tb17449.x

Google Scholar Crossref

Reys, B. J., & Yang, D. C. (1998). Relationship between computational performance and number sense among sixth and eighth grade Students in Taiwan. Journal for Research in Mathematics Education, 29(2), 225-237. doi: 10.2307/749900

Google Scholar Crossref

Sengul, S. (2013). Identification of Number Sense Strategies used by Pre- service elementary Teachers. Educational Sciences: Theory and Practice, 13(3), 1965-1974. doi: 10.12738/estp.2013.3.1365

Google Scholar Crossref

Sengul, S., & Gulbagci, H. (2012). An investigation of 5th grade Turkish Students’ performance in number sense on the topic of decimal numbers. Procedia Social and Behavioral Sciences, 46, 2289-2293. doi:10.1016/j.sbspro.2012.05.472

Google Scholar Crossref

Sowder, J. (1992). Estimation and number sense. In D. A. Grouw (Ed.), Handbook of Research on Mathematics Teaching and Learning (pp. 245-275). New York: MacMillan Publishing Company.

Google Scholar Crossref

Tsao, Y. (2004). Exploring the connections among number sense, mental computation performance, and the written computation performance

Google Scholar Crossref

of elementary preservice school teachers. Journal of College

Google Scholar Crossref

Teaching and Learning, 1(12), 71-90.

Google Scholar Crossref

Veloo, P.K. (2010). The development of number sense and mental

Google Scholar Crossref

computation proficiencies: An intervention study with secondary one Students in Brunei Darussalam. Unpublished master thesis, University of Otago, Dunedin, New Zealand.

Google Scholar Crossref

Yang, D. C. (2005). Number sense strategies used by 6th grade Students in Taiwan. Educational Studies, 31(3), 317-333. doi:10.1080/03055690500236845

Google Scholar Crossref

Yang, D. C., Li, M. N., & Lin, C. I. (2008). A study of the performance of 5th graders in number sense and its relationship to achievement in mathematics. International Journal of Science and Mathematics Education, 6, 789-807. doi: 10.1007/Student 10763-007-9100-0

Google Scholar Crossref

Yang, D.C., Reys, R., & Reys B.J. (2009). Number sense strategies used by pre-service teachers in Taiwan. International Journal of Science and Mathematics Education, 7, 383-403. doi:10.1007/s10763-007-9124-5

Google Scholar Crossref

Yang, D. C., & Tsai, Y. F. (2010). Promoting Sixth Graders’ Number Sense and Learning Attitudes via Technology-based Environment. Educational Technology & Society, 13(4), 112-125.

Google Scholar Crossref

Downloads

Published

2017-02-24

Almetric

Dimensions

Issue

Section

Articles