UPSI Digital Repository (UDRep)
|
|
|
Abstract : Universiti Pendidikan Sultan Idris |
This study aims to investigate the effectiveness of using TI-Nspire CX graphing
calculator’s approach in learning Integrals and Its Application topic towards pre-service
mathematics teachers’ achievement and mathematical reasoning. In addition, the study
also determine the relationship that exists between the two dependent variables. The
sample consist of 44 pre-service mathematics teachers selected using the fish-bowl
method to take part in this quasi-experimental non-equivalent pre-post-test design
study. A total of 22 pre-service mathematics teachers are participate in each
experimental group and control group. The instruments used for the pre and post-test
were the Calculus Achievement Test and Calculus Mathematical Reasoning Test to
measure the pre-service mathematics teachers’ level of achievement and mathematical
reasoning skill. The obtained data were analysed quantitatively using the inferential
statistics, namely paired sample t-test, one-way MANOVA and Pearson-r correlation
analysis. The findings revealed that there was an increase in the achievement’s mean
score of pre-service mathematics teachers in the Calculus Achievement Test for the
control group and experimental group, which the change in the mean score of
achievement from 17.09 (SD=9.626) to 46.32 (SD=6.557) with value of p=0.00 for the
control group, and from 17.00 (SD=10.933) to 45.95 (SD=10.746), with value of
p=0.00 for the experimental group. For the achievement of the Calculus Mathematical
Reasoning Test, the experimental group that learned the topic of Integrals and
Its Application using the TI-Nspire CX Graphing Calculator Learning Activities was
perform better than the control group that underwent learning using the conventional
method. The result showed an increase in the mean score of mathematical reasoning for
the experimental group from 21.82 (SD=7.938) to 49.64 (SD=6.477) with a value of
p=0.00, compared to the value of the increase for the control group which from
21.91 (SD=5.528) to 26.27 (SD=9.067), with a value of p = 0.007. This indicate that
there is a positive relationship between the dependent variable of achievement and
mathematical reasoning, with the p-value=0.001 and r=0.677. In conclusion, the
graphing calculator approach in learning is able to develop the ability of pre-service
mathematics teachers in mathematical reasoning skills and improve their achievement.
The implication is that the approach involving technology in mathematics learning is
very meaningful and relevant nowadays to be applied at the level of higher education
institutions. |
References |
Abdullah, M. N. L. Y. (2010). Improving self-regulated learning with self-management tool: An emprical study. Penerbit Universiti Sains Malaysia. Abdul-Rahman, S. (2005, Nov 25-Dec 1). Learning with examples and students' understanding of integration [Paper presentation]. Reform, Revolution and Paradigm Shifts in Mathematics Education, Johor Bahru, Malaysia. Abu-Naja, M. (2008). The effect of graphic calculators on Negev Arab pupils’ learning of the concept of families of functions. Research in Mathematics Education, 10(2), 183-202. https://doi.org/10.1080/14794800802233704 Adnan, M., Nawi, N. M., Abdullah, M. F. N. L., Ahmad, C. N. C., & Arifin, N. S. (2018). Pembinaan item kemahiran berfikir aras tinggi matematik tingkatan satu untuk topik pecahan. Jurnal Pendidikan Sains dan Matematik Malaysia, 8(1), 46-54. https://doi.org/10.37134/jpsmm.vol8.1.4.2018 Ahmad, J. (2002) Kesahan, kebolehpercayaan dan keberkesanan modul program maju diri ke atas motivasi pencapaian di kalangan pelajar-pelajar sekolah menengah Negeri Selangor [Doctoral dissertation, Universiti Putra Malaysia]. Universiti Putra Malaysia Institutional Repository. http://psasir.upm.edu.my/id/eprint/ 9348/ Ahmad, J. (2016). Modul motivasi diri. Dewan Bahasa dan Pustaka. Ahmad, J. & Noah, S.M. (2001). Pendekatan alternatif menentukan kesahan dan kebolehpercayaan modul program maju diri Jabatan Pendidikan Selangor. Jurnal Persatuan Kaunselor Malaysia (PERKAMA), 9, 97-118. https://scholar. google.com/scholar?cluster=16712027169011537195&hl=en&oi=scholar Alkhateeb, H. M., & Wampler, J. (2002). Graphing calculators and students' conceptions of the derivative. Perceptual and Motor Skills, 94(1), 165-170. https://doi.org/ 10.2466%2Fpms.2002.94.1.165 Aly, S. A., & Abbas, M. (2000, October 2). Penyerapan kemahiran saintifik dalam proses pengajaran dan pembelajaran kimia di tahap menengah [Paper presentation]. Seminar Pendidikan Sains dan Matematik, UiTM Shah Alam, Selangor, Malaysia. Anggraini, R. S., & Fauzan, A. (2018, June 30-July 1). The influence of realistic mathematics education (RME) approach on students’ mathematical communication ability [Paper presentation]. 2nd International Conference on Mathematics and Mathematics Education 2018 (ICM2E 2018), Padang, Indonesia. Aris, B., Shariffudin, R.S. & Subramaniam, M. (2002). Reka bentuk perisian multimedia (1st ed.). Penerbit Universiti Teknologi Malaysia. Armstrong, P. (2016). Bloom’s taxonomy, Vanderbilt University Center for Teaching. https://cft.vanderbilt.edu/guides-sub-pages/blooms-taxonomy/ Ary, D., Jacobs, L. C., Irvine, C. K. S., & Walker, D. (2019). Introduction to research in education (10th ed.). Cengage Learning. Ayll, M. F., Gez, I. A., & Ballesta-Claver, J. (2016). Mathematical Thinking and Creativity through Mathematical Problem Posing and Solving. Journal of Educational Psychology-Propitos y Representaciones, 4(1), 195-218. https://doi.org/10.4103%2F0253-7184.69003 Aziz, A.A.M.A., Puteh, M., Tajudin, N.M., & Adnan, M. (2017). Pupils achievement towards Higher Order Thinking Skill Mathematics questions with bar model method. Science International, 29(4), 733-736. Baker, B., Cooley, L., & Trigueros, M. (2000). A calculus graphing schema. Journal for Research in Mathematics Education, 31(5), 557-578. https://doi.org/10. 2307/749887 Barker, W., Bressoud, D., Epp, S., Ganter, S., Haver, B., & Pollatsek, H. (2004). Undergraduate Programs and courses in the mathematical sciences: CUPM curriculum guide 2004. Mathematical Association of America. Bates, S. A. (2021). The graphing calculator and achievement in middle school mathematics: The effects of course level and student achievement level (Publication No. 28153680) [Doctoral dissertation, Hofstra University]. ProQuest Dissertations and Theses Global. Berawi, F.M. (2017). Metodologi Pendidikan: Panduan menulis tesis (2nd ed.). Universiti Utara Malaysia Press. Berliner, D. C. (2004). Expert teachers: Their characteristics, development and accomplishments. https://www.academia.edu/29686223/Expert_teachers_Thei r_characteristics_development_and_accomplishments Bhuyan, M. H., Khan, S. S. A., & Rahman, M. Z. (2018). Teaching digital electronics course for electrical engineering students in cognitive domain. International Journal of Learning and Teaching, 10(1), 1-12. https://doi.org/10.18844/ IJLT.V10I1.3140 Bressoud, D., Ghedamsi, I., Martinez-Luaces, V., & Tner, G. (2016). Teaching and learning of calculus. Springer Nature. Campbell, D. T., & Stanley, J. C. (2015). Experimental and quasi-experimental designs for research. Ravenio Books. Cavanagh, M., & Mitchelmore, M. (2003). Graphics calculators in the learning of mathematics: teacher understandings and classroom practices (EJ852377). ERIC. https://eric.ed.gov/?id=EJ852377 Cheong, L. S. (2005). Effect of combined strategy instruction and attribution retraining on students causal attributions, learning strategies and achievement: A conceptual framework. Masalah Pendidikan, 185-192. https://www.academia.edu/24226156/Effect_of_Combined_Strategy_Instructi on_and_Attribution_Retraining_on_Students_Causal_Attributions_Learning_ Strategies_and_Achievement_A_Conceptual_Framework Cheshier, S. R. (2006). Studying engineering technology: A blueprint for success. Discovery Press. Chua, Y.P. (2012). Kaedah dan statistik penyelidikan buku 2: Asas statistik penyelidikan (2nd ed). McGraw-Hill Education (Asia) Sdn. Bhd. Chua, Y.P. (2014). Kaedah dan statistik penyelidikan buku 4: Ujian univariat dan multivariat (2nd ed). McGraw-Hill Education (Asia) Sdn. Bhd. Chou, C. P., & Bentler, P. M. (1995). Estimates and tests in structural equation modeling. In R. H. Hoyle (Ed.), Structural equation modeling: Concepts, issues, and applications (pp. 37–55). Sage Publications, Inc. Cohen, J. (1988). Statistical power analysis for the behavioral sciences (2nd ed). Lawrence Erlbaum Associates. Cohen, J. (1992). A power primer. Psychological bulletin, 112(1), 155-159. https://psycnet. apa.org/doi/10.1037/0033-2909.112.1.155 Cole, M. & Engestr, Y. (1993). A cultural-historical approach to distributed cognition. In G. Salomon (Ed.), Distributed cognitions: Psychological and educational considerations (pp. 1-46). Cambridge University Press. Cook, T.D. & Campbell, D.T. (1979). Quasi-experimentation: Design & analysis issues for field settings. Rand McNally Publishing Company. Cox, M. J. (2008). Researching IT in education. In Voogt, J. & Knezek, G. (Eds.), International handbook of information technology in primary and secondary education (pp. 965-981). Springer. Creswell, J. W. (2008). Educational research: Planning, conducting, and evaluating quantitative and qualitative research (3rd ed.). Pearson Education, Inc. Creswell, J. W. (2012). Educational research: Planning, conducting, and evaluating quantitative and qualitative research (4th ed.). Pearson Education, Inc. Creswell, J. W., & Creswell, J. D. (2017). Research design: Qualitative, quantitative, and mixed methods approaches (5th ed.). Sage Publications, Inc. Darusalam, G. & Hussin. S. (2016). Metodologi penyelidikan dalam pendidikan: Amalan dan analisis kajian. Penerbit Universiti Malaya. Davis, L. L. (1992). Instrument review: Getting the most from a panel of experts. Applied nursing research, 5(4), 194-197. https://doi.org/10.1016/ S0897-1897(05)80008-4 Davis, D. (2021). Presenting research reflexivity in your PhD thesis. Nurse Researcher, 29(2). https://doi.org/10.7748/nr.2020.e1644 de Almeida, M. E. B., Queiruga-Dios, A., & Cáceres, M. J. (2021). Differential and Integral Calculus in First-Year Engineering Students: A Diagnosis to Understand the Failure. Mathematics, 9(1), 61. https://doi.org/10.3390/math9010061 Dick, T. P. (1992). Super calculators: Implications for the calculus curriculum, instruction, and assessment. In Fey, J.T. & C.R. Hirsch (Eds.) Calculators in mathematics education: 1992 Yearbook (pp. 145-157). National Council of Teachers of Mathematics. Dinesen, P. T., & Sderskov, K. M. (2018). Ethnic diversity and social trust: A critical review of the literature and suggestions for a research agenda. In Uslaner, E.M. (Ed.), The Oxford handbook of social and political trust (pp. 175-204). Oxford University Press. http://dx.doi.org/10.1093/oxfordhb/9780190274801.013.13 Dfler, W. (1993). Computer use and views of the mind. In Keitel C.& Ruthven K. (Eds), Learning from computers: Mathematics education and technology (pp. 159-186). Springer. Drijvers, P., Ball, L., Barzel, B., Kathleen Heid, M., Cao, Y., & Maschietto, M. (2016). Uses of technology in lower secondary mathematics education: A concise topical survey. Springer Nature. Ellington, A. J. (2003). A meta-analysis of the effects of calculators on students' achievement and attitude levels in precollege mathematics classes. Journal for Research in Mathematics Education, 34(5), 433-463. https://doi.org/10. 2307/30034795 Engestr, Y. (2001). Expansive learning at work: Toward an activity theoretical reconceptualization. Journal of education and work, 14(1), 133-156. https://doi. org/10.1080/13639080020028747 Ernest, P. (2013). Varieties of constructivism: A framework for comparison. In Steffe, L.P., Nesher, P., Cobb, P., Sriraman, B. & Greer,B. (Eds.), Theories of mathematical learning (1st ed., pp. 347-362). Routledge (Taylor & Francis Group). European Union, EU (2011). The PRIMAS project: Promoting inquiry-based learning (IBL) in mathematics and science education across Europe. https://primasproject.eu/wp-content/uploads/sites/323/2017/10/PRIMAS_Guide-for-Professional Development-Providers-IBL_110510.pdf European Union, EU (2014). Report to the European Commission on new modes of learning and teaching in higher education. http://portal3.ipb.pt/ images/icm/1.2_2014_modernisation_en.pdf Fauzan, A., Musdi, E. & Yani, R. (2018, October 14). The influence of realistic mathematics education (RME) approach on students' mathematical representation ability [Paper presentation]. 1st International Conference on Education Innovation (ICEI 2017), Surabaya, Indonesia. Fosnot, C. T. (2013). Constructivism: Theory, perspectives, and practice. Teachers College Press. Firdaus. (2016). Pembelajaran berasaskan masalah bagi meningkatkan kemahiran berfikir kritis dan kreaktif matematik di kalangan pelajar sekolah menengah atas di Indonesia [Doctoral’s dissertation, Universiti Teknologi Malaysia]. Universiti Teknologi Malaysia Institutional Repository. http://eprints.utm.my/id/eprint/ 78032/ Gall, J.P., Gall, M.D., & Borg, W.R. (2005). Applying educational research: A practical guide (5th ed.). Pearson Education, Inc. Garden, R. A., Lie, S., Robitaille, D. F., Angell, C., Martin, M. O., Mullis, I. V., Foy, P., & Arora, A. (2006). TIMSS Advanced 2008 Assessment Frameworks. International Association for the Evaluation of Educational Achievement. Garrison, C., & Ehringhaus, M. (2007). Formative and summative assessments in the classroom. https://www.amle.org/formative-and-summative-assessments-inthe-classroom/ Gautam, P. (2018). A concise history of the modern calculus in mathematics. Akademos, 2018, 129-143. http://akademos.in/2018/02/07-129143.pdf Gay, L.R. & Airasian, P. (2000). Educational research: Competencies for analysis and application (6th ed.). Merrill Publishing Company. Gay, L. R., & Airasian, P. (2003). Educational research: Competencies for analysis and application (7th ed.). New Jersey: Pearson Education. Gennese, F., Lindholm-Leasry, K., Saunders, W. & Christian, D. (2006). Academic achievement. In Educating English language learners: A synthesis of research evidence (pp. 176-222). Cambridge University Press. Ghafar, M.N.A. (1999). Penyelidikan pendidikan. Penerbit Universiti Teknologi Malaysia. Ghazali, N.H.C.M., Hassan, N.M., Rabi, N.M. & Zaini, S.H. (2018). Confirmatory factor analysis of the teaching strategy for HOTs and LOTs Inventory in the Malaysian context, Journal of Research, Policy & Practice of Teachers & Teacher Education, 8(2), 83-94. https://doi.org/10.37134/jrpptte.vol8.no2.8. 2018 Goodrum, D., Hackling, M. & Rennie, L. (2001). The status and quality of teaching and learning science in Australian schools: A research report. Department of Education, Training and Young Affairs. Haja, S. (2005). Investigating the problem solving competency of pre service teachers in dynamic geometry environment [Paper presentation]. International Group for the Psychology of Mathematics Education, Melbourne, Australia. Halverson, R. R., & Clifford, M. A. (2006). Evaluation in the wild: A distributed cognition perspective on teacher assessment. Educational Administration Quarterly, 42(4), 578-619. https://doi.org/10.1177%2F0013161X05285986 Heppner, P. P., Wampold, B. E., Owen, J., Thompson, M.N. & Wang, K. T. (2015). Major design. In Research design in counseling (4th ed.) (pp. 242-260). Cengage Learning. Hiebert, J., & Carpenter, T. P. (1992). Learning and teaching with understanding. In Grouws,D. (Ed.) Handbook of research on mathematics teaching and learning: A project of the National Council of Teachers of Mathematics (pp. 65-97). The National Council of Teachers of Mathematics, Inc. Hiebert, J., Carpenter, T. P., Fennema, E., Fuson, K., Human, P., Murray, H., Oliver, A. & Wearne, D. (1997). Making mathematics problematic: A rejoinder to Prawat and Smith. Educational Researcher, 26(2), 24-26. https://doi.org/10.2307/1176035 Hollan, J., Hutchins, E., & Kirsh, D. (2000). Distributed cognition: toward a new foundation for human-computer interaction research. ACM Transactions on Computer-Human Interaction (TOCHI), 7(2), 174-196. https://doi.org/10. 1145/353485.353487 Huck, S.W. (2012). Reading statistics and research (6th ed.). Pearson Education, Inc. Huebner, T. A. (2009). What Research says about.../Balanced assessment. Educational Leadership, 67(3), 85-86. https://www.ascd.org/el/articles/balancedassessment Hunter, J.S. (2011). The effects of graphing calculator use on high-school students’ reasoning in integral calculus [Doctoral dissertation, University of New Orleans]. University of New Orleans Theses and Dissertations. https://scholarworks. uno.edu/td/1346/ Hutchins, E. (1995). Cognition in the wild. Massachusetts Institute of Technology Press. Idris, N. (2005). Pedagogi dalam pendidikan matematik. Utusan Publications & Distributors Sdn.Bhd. Idris, N. (2013). Penyelidikan dalam pendidikan (2nd ed.). McGraw-Hill Education (Asia) Sdn. Bhd. Idris, N. & Krishnan, S. (2016). Innovative assessment in the mathematics classroom. Penerbit Universiti Malaya. Idris, N., Tajudin, N.M., Shah, R.L.Z.R.M., Leong, K.E., Rahim, S.S.A., Samad, H.A., Parrot, M.A.S. & Statworks (M) Sdn. Bhd. (n.d.). TI-Nspire CX graphing calculator technology-based learning environment: Enhancing higher order thinking skills and mathematics performances. https://www. academia.edu/ 26103688/TI_Nspire_CX_Graphing_Calculator_Technology_Based_Learning _Environment_Enhancing_Higher_Order_Thinking_Skills_And_Mathematics _Performances Iran-Nejad, A. (1995). Constructivism as substitute for memorization in learning: Meaning is created by learner. Education, 116 (1), 16-31. gale.com/apps/doc/A17855126/AONE?u=anon~6a1aaedd&sid=googleScholar &xid=5ef4faa1 Jackson, S. L. (2014). Research methods and statistics: A critical thinking approach (5th ed.). Cengage Learning. Jeannotte, D., & Kieran, C. (2017). A conceptual model of mathematical reasoning for school mathematics. Educational Studies in Mathematics, 96(1), 1-16. https://doi.org/10.1007/s10649-017-9761-8 Johnson, R.B., & Christensen, L. (2016). Educational research: Quantitative and qualitative approaches (6th ed.). Sage Publications, Inc. Judson, T. W., & Nishimori, T. (2005). Concepts and skills in high school calculus: An examination of a special case in Japan and the United States (EJ764974). ERIC. Journal for Research in Mathematics Education, 36(1), 24-43. https://www.jstor.org/stable/30034919 Kadir, Z.A., Bejor, J., Nathiman, R., Moamed, B. & Khamis, J. (2003). Meningkatkan kemahiran membentuk ungkapan kuadratik. Jurnal Penyelidikan Pendidikan, 7: 12– 19. Kandemir, M. A., & Keskin, P.D. (2019). Effect of graphing calculator program supported problem solving instruction on mathematical achievement and attitude (EJ1197997). ERIC. International Journal of Research in Education and Science, 5(1), 203-223. https://eric.ed.gov/?id=EJ1197997 Karadeniz, I., & Thompson, D. R. (2018). Precalculus teachers’ perspectives on using graphing calculators: an example from one curriculum (EJ1164655). ERIC. International Journal of Mathematical Education in Science and Technology, 49(1), 1-14. https://eric.ed.gov/?id=EJ1164655 Kent, P., & Noss, R. (2000). The visibility of models: using technology as a bridge between mathematics and engineering. International Journal of Mathematical Education in Science and Technology, 31(1), 61-70. https://doi.org/10.1080/002073900287390 Kerlinger, A.F. & Lee, H.B. (2000). Foundation of behavioral research (4th ed.). Harcourt Brace, & Co. Kharuddin, A. F., & Ismail, N. A. (2017). Graphing calculator exposure of mathematics learning in a partially technology incorporated environment. Eurasia Journal of Mathematics, Science and Technology Education, 13(6), 2529-2537. https://doi.org/10.12973/eurasia.2017.01238a Konting, M.M. (2009). Kaedah penyelidikan pendidikan. Dewan Bahasa dan Pustaka. (Original work published 1990). Lawson, A. E. (1995). Science teaching and the development of thinking. Wadsworth Thomson Learning. Lazari, A., & Goel, S. (2003). Teaching statistics using graphics calculators versus traditional method. Georgia Journal of Science, 61(2), 84. https://www. thefreelibrary.com/Teaching+statistics+using+graphics+calculators+versus+tr aditional...-a0105438366 Lee, T.T. & Osman, K. (2013). Pembinaan dan keberkesanan modul multimedia interaktif dengan agen pedagogi dalam pembelajaran elektrokimia [Doctoral dissertation, Universiti Kebangsaan Malaysia]. Malaysian Education Research Repository. http://merr.utm.my/13993/ Liang, S. (2016). Teaching the concept of limit by using conceptual conflict strategy and Desmos graphing calculator (EJ1105103). ERIC. International Journal of Research in Education and Science, 2(1), 35-48. https://eric.ed. gov/?id=EJ1105103 Lithner, J. (2000). Mathematical reasoning in task solving. Educational Studies in Mathematics, 41(2), 165-190. https://www.jstor.org/stable/3483188 Lynn, M. R. (1986). Determination and quantification of content validity. Nursing research, 35(6), 382–385. https://journals.lww.com/nursingresearchonline/ citation/1986/11000/determination_and_quantification_of_content.17.aspx Makina, A. (2010). The role of visualisation in developing critical thinking in mathematics. Perspectives in Education, 28(1), 24-33. https://www.ajol.info/ index.php/pie/article/view/76898 Mao, Y., White, T., Sadler, P. M., & Sonnert, G. (2017). The association of precollege use of calculators with student performance in college calculus. Educational Studies in Mathematics, 94(1), 69-83. https://doi.org/10.1007/s10649-0169714-7 Marican, S. (2006). Penyelidikan sains sosial: pendekatan pragmatik. Edusystem Sdn. Bhd. Mayer, R.E. & Wittrock, R.C. (2012). Problem solving. In Alexander, P.A. & Winne, P.H. (Eds), Handbook of educational psychology (2nd ed.). (pp. 287-304). Routledge, Taylor and Francis Group. McLeod, S. A. (2019). What does effect size tell you? https://online210.psych.wisc.edu/ wp-content/uploads/PSY-210_Unit_Materials/ PSY -210_ Unit09_Materials/ McLeod_ EffectSize_2019.pdf Mickle, A.D. & Clarke, P.A.J. (2015). Using TI-Nspire to engage preservice mathematics teachers in an exploratory geometry module [Paper presentation]. The Annual Meeting of the Georgia Association of Mathematics Teacher Educators, Georgia, United States of America. Mills, G. E., & Gay, L. R. (2019). Educational research: Competencies for analysis and applications (12th ed.). Pearson Education, Inc. Ministry of Education Malaysia. (1999). Surat pekeliling ikhtisas bil. 3/1999: Penyediaan rekod pengajaran dan pembelajaran. https://online.fliphtml5.com/xwafq/ noma/#p=1 Ministry of Education Malaysia. (2014). Kemahiran berfikir aras tinggi: Aplikasi di sekolah. Cepat Cetak Sdn. Bhd. Ministry of Education Malaysia. (2015a). Kurikulum standard sekolah rendah: Matematik: Dokumen standard kurikulum dan pentaksiran tahun 1. Bahagian Pembangunan Kurikulum. Ministry of Education Malaysia. (2015b). Kurikulum standard sekolah menengah: Matematik: Dokumen standard kurikulum dan pentaksiran tingkatan 1. Bahagian Pembangunan Kurikulum. Mor, Y., Winters, N., Cerulli, M., & Bjk, S. (2006). Part 1 Literature review: Design strand. In Learning patterns for the design and deployment of mathematical games (pp. 7-59). Kaleidoscope Publishing, Inc. Morrison, G. R., Ross, S. J., Morrison, J. R., & Kalman, H. K. (2019). Designing effective instruction (8th ed.). John Wiley & Sons, Inc. Nachmias, D., & Nachmias, C. (1976). Research methods in the social sciences. St. Martin’s Press. Nasir, S. M. M., Zamzamir, Z., Tajudin, N.M., Hasan, N., Ahmat, N., & Retnowati, E. (2020). Need analysis for the development of a game-based learning kit on isometric transformations. PalArch's Journal of Archaeology of Egypt/ Egyptology, 17(10), 510-522. https://doi.org/10.48080/jae.v17i10.4380 National Council of Teachers of Mathematics, NCTM. (2000). Principles and standards for school mathematics: An overview. National Council of Teachers of Mathematics. National Council of Teachers of Mathematics, NCTM. (2009). Focus in high school mathematics: Reasoning and sense making (3rd ed.). National Council of Teachers of Mathematics. Ndlovu, L. (2019). A design based research on students' understanding of quadratic inequalities in a graphing calculator enhanced environment [Doctoral dissertation, Stellenbosch University]. Stellenbosch University Library and Information Services. https://scholar.sun.ac.za/handle/10019.1/107187 Ndlovu, L., & Ndlovu, M. (2020). The effect of graphing calculator use on learners’ achievement and strategies in quadratic inequality problem solving (EJ1286886). ERIC. Pythagoras, 41(1), 13. https://eric.ed.gov/?id=EJ1286886 Ng, W. L. (2005). Using a graphing calculator to explore pre-university level mathematics–Some examples given in an in-service course [Paper presentation]. 10th Asian Technology Conference in Mathematics, Cheong-Ju, South Korea. Ng, W.L., Tan, W.C., & Ng, N.M.L. (2009). Teaching and learning calculus with the TI-Nspire: A design experiment. Asian Technology Conference in Mathematics [Paper presentation]. 14th Asian Technology Conference in Mathematics, Beijing, China. Noah, S.M. (2002). Penilaian dalam kaunseling [modul kursus]. Institut Pendidikan dan Pembelajaran Jarak Jauh, Universiti Putra Malaysia. (Original work published 2001). Noah, S.M. & Ahmad, J. (2005). Pembinaan modul: Bagaimana membina modul Latihan dan modul akademik. Penerbit Universiti Putra Malaysia. Nordin, A.B. (1995). Penilaian afektif. Masa Enterprise. Nunes, T., Bryant, P., Barros, R., & Sylva, K. (2012). The relative importance of two different mathematical abilities to mathematical achievement. British Journal of Educational Psychology, 82(1), 136-156. https://doi.org/10.1111/j.20448279.2011.02033.x Ortiz, J., & Rico, L. (2001). Graphic Calculators and Mathematical Modelling in a Program for Preservice Mathematics Teacher [Paper Presentation]. 6th Asian Technology Conference in Mathematics Education, Melbourne, Australia. Orton, A. (1985). When should we teach calculus? Mathematics in School, 14(2), 1115. http://www.jstor.org/stable/30213968 Outhwaite, L. A., Faulder, M., Gulliford, A., & Pitchford, N. J. (2019). Raising early achievement in math with interactive apps: A randomized control trial. Journal of Educational Psychology, 111(2), 284-298. https://doi.org/10.1037/ edu0000286 Pallant, J. (2020). SPSS survival manual: A step by step guide to data analysis using IBM SPSS (7th ed.). Routledge (Taylor & Francis Group). Papadimitriou, A. (2012). An innovative approach in teaching digital electronics at technical high schools. International Journal of Engineering Technology and Advanced Engineering, 2(9), 1-9. oai:CiteSeerX.psu:10.1.1.413.8391 Parker, J. C. (2007). Gender differences in the motivation to learn. [Master’s thesis, Evergreen State College]. http://citeseerx.ist.psu.edu/viewdoc/download? doi=10.1.1.497.397&rep=rep1&type=pdf Parrot, M. A. S., & Leong, K. E. (2018). Impact of using graphing calculator in problem solving (EJ1227509). ERIC. International Electronic Journal of Mathematics Education, 13(3), 139-148. https://eric.ed.gov/?id=EJ1227509 Pea, R. (1985). Beyond amplification: Using the computer to reorganize mental functioning. Educational Psychologist, 20(4), 167-182. https://doi.org/10.1207/ s15326985ep2004_2 Polit, D. F., Beck, C. T., & Owen, S. V. (2007). Is the CVI an acceptable indicator of content validity? Appraisal and recommendations. Research in Nursing & Health, 30(4), 459-467. https://doi.org/10.1002/nur.20199 Queensland Curriculum & Assessment Authority, QCAA. (2005). About thinking, reasoning and working mathematically. https://www.qcaa.qld. edu.au/downloads/ p_10/kla_maths_trw_about.pdf Rahman, N.A., Ong, E. T., Tajudin, N.M., Perumal, P., & Khuan, W. B. (2019). Perceived Training Needs of Science Teachers in Fostering HOTS among Lower Secondary Students in Peninsular Malaysia. Journal of Advanced Research in Dynamical & Control Systems, 11(Special Issue-05), 1409-1419. https://www.jardcs.org/ abstract.php?id=1530 Ramos, F. A. M., & Ishizaka, H. (2021). Diagnostic Analysis of the Mathematics Lessons Considering the Influence of Teaching Style and Lesson Plan Adherence in the New Textbooks Implementation in El Salvador. NUE Journal of International Educational Cooperation, 14, 1-12. http://dx.doi.org/10.24727/00028917 Reznichenko, N. (2012). Use of Constructivism in Mathematics Learning with Graphing Calculator [Paper presentation]. EdMedia: World Conference on Educational Media & Technology, Waynesville, North Carolina. Robova, J. (2002). Graphing calculator as a tool for enhancing the efficacy of mathematics teaching. http://users.math.uoc.gr/~ictm2/Proceedings/pap 503.pdf Rodrigues, I. B., Adachi, J. D., Beattie, K. A., & MacDermid, J. C. (2017). Development and validation of a new tool to measure the facilitators, barriers and preferences to exercise in people with osteoporosis. BMC Musculoskeletal disorders, 18(1), 1-9. https://doi.org/10.1186/s12891-017-1914-5 Rodriguez, M. (2019). Impact of implementing graphing calculators on college algebra students’ performance, satisfaction, and motivation. International Journal of Learning, Teaching and Educational Research, 18(6), 96-109. https://doi.org/ 10.26803/ijlter.18.6.6 Roschelle, J., & Singleton, C. (2008). Graphing calculators: Enhancing math learning for all students. In International handbook of information technology in primary and secondary education volume 20 (pp. 951-959). Springer. Rusell, J. D. (1974). Modular instruction: A Guide to the design, selection, utilization and evaluation of modular materials. Burgess Publishing Company. Salih, M. (2010). Developing thinking skills in malaysian science students via an analogical task (EJ910946). ERIC. Journal of Science and Mathematics Education in Southeast Asia, 33(1), 110-128. https://eric.ed.gov/?id=EJ910946 Salleh, T. S. A., & Zakaria, E. (2011). Integrating computer algebra system (CAS) into integral calculus teaching and learning at the university. International Journal of Academic Research, 3(3), 397-401. https://www.academia.edu/1330128/ INTEGRATING_COMPUTER_ALGEBRA_SYSTEMS_CAS_INTO_INTE GRAL_CALCULUS_TEACHING_AND_LEARNING_AT_THE_UNIVERS ITY Salomon, G., Perkins, D. N. & Globerson, T. (1991). Partners in cognition: Extending human intelligence with intelligent technologies. Educational Researcher, 20(3): 2-9. https://doi.org/10.3102%2F0013189X020003002 Schmalz, R. (1973). Categorization of questions that mathematics teachers ask. The Mathematics Teacher, 66(7), 619-626. https://www.jstor.org/stable/27959421 Setiana, D. S., & Nuryadi, R. H. S. (2020). The correlation between reasoning and emotional intelligence in social interaction to mathematics achievement. Hipotenusa Journal of Mathematics Society, 2(1), 21-25. http://dx.doi.org/ 10.18326/hipotenusa.v2i1.21-25 Sidi, Z.M. (2018). Model pentaksiran kompetensi holistik dalam pengajaran Pendidikan Latihan Teknikal dan Vokasional (PLTV) [Doctoral dissertation, Universiti Teknologi MARA]. https://www.academia.edu/39273246/MODEL_ PENTAKSIRAN_KOMPETENSI_HOLISTIK_DALAM_PENGAJARAN_P ENDIDIKAN_LATIHAN_TEKNIKAL_DAN_VOKASIONAL_PLTV_ZUL KIFLI_BIN_MOHD_SIDI_PhD Silver, E.A. (1994). On mathematical posing. For the learning of mathematics, 14(1), 19-28. https://www.jstor.org/stable/40248099 Simpson, T. L. (2002). Dare I oppose constructivist theory? The Educational Forum, 66(4), 347-354. https://doi.org/10.1080/00131720208984854 Sjerg, S. (2010). Constructivism and learning. In Peterson, P., Baker, E., & McGraw, B. (Eds), International encyclopedia of education (3rd Ed.) (pp.485-490). Elsevier. Slavit, D., LoFaro, T., & Cooper, K. (2002). Understandings of solutions to differential equations through contexts, web -based simulations, and student discussion. School Science and Mathematics, 102(8), 380-390. https://doi.org/10.1111/j.1949-8594.2002.tb17890.x Stacey, K. (2006). What is mathematical thinking and why is it important? https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.550.1647&rep=rep 1&type=pdf Stacey, K., & Wiliam, D. (2013). Technology and assessment in mathematics. In Clements, M. A.K., Bishop, A.J., Keitel, C., Kilpatrik, J. & Leung, F.K.S. (Eds.), Third international handbook of mathematics education (pp. 721-752). Springer Science + Business Media. Sivasubramaniam, P. (2004). Distributed cognition and the use of graphing calculators in the learning of mathematics [Paper presentation]. 2nd National Conference on Graphing Calculators, Penang, Malaysia. Subtil, M., & Domingos, A. (2018). The development of the mathematics curriculum in basic education with technology. https://hal.archives-ouvertes. fr/hal01946312/document Tajudin, N.M. (2013). Graphing calculator and geometers’ sketchpad in teaching and learning of mathematics. Journal of Arts and Humanities, 2(11), 53-66. https://doi.org/10.18533/journal.v2i11.212 Tajudin, N.M. & Chinnappan, M. (2016). The link between higher order thinking skills, representation and concepts in enhancing TIMSS tasks (EJ1106523). ERIC. International Journal of Instruction, 9(2), 199-214. https://eric.ed.gov/?id= EJ1106523 Tajudin, N.M. & Chinnappan, M. (2017). Relationship between scientific reasoning skills and mathematics achievement among Malaysian students. Geografia-Malaysian Journal of Society and Space, 12(1), 96-107. http://ijcar.net /assets/pdf/Vol4-No3-March2017/10.pdf Tajudin, N.M., & Idris, N. (2014). TI-NSPIRE CX graphing calculator: Enhancing students’ performance in mathematics learning. Asia Pacific Journal of Multidisciplinary Research, 1(1), 105-115. https://www.academia.edu/ 40389656/TI_NSPIRE_CX_Graphing_Calculator_Enhancing_Students_Perfo rmance_in_Mathematics_Learning Tajudin, N.M., Tarmizi, R.A., Konting, M.M. & Ali, W.Z.W. (2009). Instructional efficiency of the integration of graphing calculators in teaching and learning mathematics (ED524115). ERIC. International Journal of Instruction, 2(2), 1130. https://eric.ed.gov/?id=ED524115 Talib, C. A., Aliyu, H., Zawadzki, R., & Ali, M. (2019). Developing student’s computational thinking through graphic calculator in STEAM education. AIP Conference Proceedings 2184(1), 030003. https://doi.org/10.1063/1.5136371 Tall, D. (1986). A graphical approach to integration and the fundamental theorem. Mathematics Teaching, 113, 48-51. http://wrap.warwick.ac.uk/498/ Tall, D. (2002). The psychology of advanced mathematical thinking. In Tall, D. (Ed.), Advanced mathematical thinking (pp. 3-21). Kluwer Academic Publisher. Tambychik, T. (2005). Penggunaan kaedah nemonik berirama dalam pembelajaran matematik bagi pelajar lemah: Satu kajian kes (Master’s thesis, Universiti Kebangsaan Malaysia). Tan, C. K. (2012). Effects of the application of graphing calculator on students’ probability achievement. Computers & Education, 58(4), 1117-1126. https://doi.org/10.1016/ j.compedu.2011.11.023 Tan, C. K., Harji, M. B., & Lau, S. H. (2011). Graphing calculator for probability students: How was it perceived? IBIMA Business Review 2011, 1-11. DOI: 10.5171/2011.167702 Tan, C. K., & Tan, C. P. (2015). Teaching probability with graphic calculator instructional approach. The Journal of Developing Areas, 49(5), 11-23. https://doi.org/ 10.1353/jda.2015.0061 Taroy, J.J. (2019). Geogebra graphing calculator mobile application for activity-based learning materials in teaching mathematics. Ascendens Asia Journal of Multidisciplinary Research Abstracts, 3(2E). https://ojs.aaresearchindex.com/ index.php/ AAJMRA/article/view/5732 Tay, L. H. (2005). Problem solving abilities and strategies in solving multistep mathematical problems among form 2 students [Master thesis, University of Malaya]. Templeton, A. (2020). A bibliometric analysis of Atangana-Baleanu operators in fractional calculus. Alexandria Engineering Journal, 59(4), 2733-2738. https://doi.org/ 10.1016/j.aej.2020.05.016 Texas Instrument. (2007). Why should a teacher use technology in his or her mathematics classroom? https://education.ti.com/sites/UK/downloads/pdf/ Research% 20Notes%20-%20Technology%20in%20Class.pdf Theofanidis, D., & Fountouki, A. (2018). Limitations and delimitations in the research process. Perioperative nursing, 7(3), 155-163. DOI: 10.5281/zenodo.2552022 Tomei, L. A. (2005). Taxonomy for the technology domain. In Tomei, L.A. (Ed.), Taxonomy for the Technology Domain (pp. 89-108). Information Science Publishing. Tuckman, B. W., & Waheed, M. A. (1981). Evaluating an individualized science program for community college students. Journal of Research in Science Teaching, 18(6), 489-495. https://doi.org/10.1002/tea.3660180603 U.S. Department of Education. (2008). Foundation for success: The final report of the National Mathematics Advisory Panel (ED500486). ERIC. https://eric.ed.gov/?id=ED500486 van Gelder, T. (2005). Teaching critical thinking: Some lessons from cognitive science. College Teaching, 53(1), 41-48. https://www.jstor.org/stable/275592 16 Varpio, L., Paradis, E., Uijtdehaage, S., & Young, M. (2020). The distinctions between theory, theoretical framework, and conceptual framework. Academic Medicine, 95(7), 989-994. doi: 10.1097/ACM.0000000000003075 von Glaserfeld, E. (1989). Constructivism in education. In Husen, T., & Postlethwaite (Eds), The international encylopedia of education, supplement volume 1 (pp.162-163). Pergamon Press. von Glasersfeld, E. (1995). Radical constructivism: A way of knowing and learning. Falmer Press. Waits, B. K., & Demana, F. (1998). The role of graphing calculators in mathematics reform. http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.35.1773& rep= rep1& type=pdf Wilson, J.W., Fernandez, M.L. & Hadawayt, N. (1993) In Wilson, P.S. (Ed.) High school mathematics: Research ideas for the classroom, volume 3 (pp. 57-78). Macmillan Library Reference. Yakubova, G., & Bouck, E. C. (2014). Not all created equally: Exploring calculator use by students with mild intellectual disability. Education and Training in Autism and Developmental Disabilities, 49(1), 111-126. https://www.jstor.org/stable/ 23880659 Yusoff, M. S. B. (2019). ABC of content validation and content validity index calculation. Educational Resource, 11(2), 49-54. https://doi.org/10.21315/ eimj2019.11.2.6 Zahid, M.Z. (2020). Telaah kerangka kerja PISA 2021: Era integrasi computational thinking dalam bidang matematika. PRISMA 2020, Prosiding Seminar Nasional Matematika, 3, 706-713. Zakaria, E., & Salleh, T. S. (2015). Using technology in learning integral calculus. Mediterranean Journal of Social Sciences, 6(5), 144-148. http://dx.doi.org/ 10.5901/mjss.2015.v6n5s1p144 Zakaria, M. A. Z. M., & Rahman, N. S. A. (2010). Pembangunan perisian Pembelajaran Berbantukan Komputer (PBK) bagi topik bulatan matematik tingkatan 2 berasaskan teori konstruktivisme. http://eprints.utm.my/id/ eprint/10273/2/Nurul_ Shuhadah _Bt_Abdul_Rahman.pdf Zamanzadeh, V., Ghahramanian, A., Rassouli, M., Abbaszadeh, A., Alavi-Majd, H., & Nikanfar, A. (2015). Design and implementation content validity study: development of an instrument for measuring patient-centered communication. Journal of Caring Sciences, 4(2), 165-178. https://doi.org/ 10.15171/jcs.2015.017 Zanzali, N. A. A., & Lui, L. N. (n.d.). Evaluating the levels of problem solving abilities in mathematics. http://dipmat.math.unipa.it/~grim/Jzanzalinam.PDF Zhang, B. (2003). Using student centered teaching strategies in calculus. The China Papers: Tertiary Science And Mathematics Teaching For The 21st Century, 2: 100-103.
|
This material may be protected under Copyright Act which governs the making of photocopies or reproductions of copyrighted materials. You may use the digitized material for private study, scholarship, or research. |