NORTHWESTERN UNIVERSITY Vedasto J. Samonte School of Graduate Studies Laoag City Tel. No. (077) 670 – 8609 to 10 Fax: (077) 771 – 3814 E-mail: info@nwu.edu.ph. Website:www.nwu.edu.ph 1 ====================================================================== 1 2 3 REFERRENCE 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 Anthony, G and Walshaw, (2007) Active learning in a constructivist framework. Educational Studies in Mathematics, 31(4), 349-369. Bailey, J. (2007). Mathematical investigations: A primary teacher educator’s narrative journey of professional awareness. In J. Watson & K. Beswick (Eds.), Proceedings of the 30th annual conference of the Mathematics Education Research Group of Australasia (MERGA): Mathematics: Essential research, essential practice (Vol. 1, pp. 103-112). Adelaide, South Australia: MERGA. Bailey, J. (2014). Mathematical investigations for supporting preservice primary teachers repeating a mathematics education course. Australian Journal of Teacher Education, 39(2), 86–100. https://doi.org/10.14221/ajte.2014v39n2.8 Balagtas, M. U., Garcia, D. C. B., & Ngo, D. C. (2019). Looking through philippine’s K to 12 curriculum in mathematics and science vis-a-vis TIMSS 2015 assessment framework. Eurasia Journal of Mathematics, Science and Technology Education, 15(12). https://doi.org/10.29333/ejmste/108494 Biggs, J. B. (2011). The SOLO taxonomy. Retrieved from: http://www.johnbiggs.com.au/solo_taxonomy.htm Biswas, S. K. (2015). Study orientation of high and low achievers at secondary level. International Journal on New Trends in Education & their Implications (IJONTE), 6(4). https://doi.org/10.14738/assrj.210.1355 Blömeke, S., & Delaney, S. (2014). Assessment of teacher knowledge across countries: A review of the state of research. International perspectives on teacher knowledge, beliefs, and opportunities to learn (pp. 541- 585). Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6437-8_25 Boaler, J. (2008) Promoting ‘relational equity’ and high mathematics achievement through an innovative mixed-ability approach, British Educational Research Journal, 34(2), 167- 194. Bruno, C. (2019). Effectiveness of Written Work and Performance Task Worksheets in Mathematics 10 at GNHS, SY 2018-2019: An innovative Localized Materials for Teaching and Learning. Retrieved from https://www.researchgate.net/publication/359501462 Burton, L., (2011). Thinking mathematically (Rev. ed.). Wokingham, England: Addison-Wesley Cajilig, N., Callanta, E., De Guzman, F., Joaquin, N., Mañalac, T., Vistro-Yu, C., & Yap, A. (2007). Trends in International Mathematics and Science Study Philippine Report: Volume II Mathematics, Population II. Quezon City: DOSTSEI, DepEd, UP NISMED Care, E., Azim, F., Beswick, B., Harding, S. M., Luo, R., Bustos, T., & Cagasan, L. (2015). Large-scale assessments for use in the Philippines. Retrieved from http://bit.ly/2G0PvYq Department of Education (2015). Policy Guidelines on Classroom Assessment for the K to 12 Basic Education Program. Retrieved from https://www.deped.gov.ph /2015/04/01/do-8-s-2015-policy-guidelines-on-classroom-assessment-for-thek-to-12-basic-education-program/ NORTHWESTERN UNIVERSITY Vedasto J. Samonte School of Graduate Studies Laoag City Tel. No. (077) 670 – 8609 to 10 Fax: (077) 771 – 3814 E-mail: info@nwu.edu.ph. Website:www.nwu.edu.ph 2 ====================================================================== 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 Department of Education (2020). Interim Guidelines for Assessment and Grading in Light of the Basic Education Learning Continuity Plan. Retrieved from https://www.deped.gov.ph/wp-content/uploads/2020/10/DO_s2020_031.pdf Department of Education (April, 2015). DepEd Order No.8 s. 2015 “Policy guidelines on classroom assessment for the k to 12 basic education program. Retrieved from www.deped.gov.ph Department of Education (April, 2015). DepEd Order No.8 s. 2015 “Policy guidelines on classroom assessment for the k to 12 basic education program. Retrieved from www.deped.gov.ph Department of Education (August, 2016). K to 12 Curriculum Guide in Mathematics Grades 1 to 10. Retrieved from www.deped.gov.ph Department of Education. (2016). K to 12 curriculum guide mathematics (Grade 1 to Grade 10). Retrieved from https://www.deped.gov.ph/wpcontent/uploads/2019/01/Math-CG_with-tagged-math-equipment.pdf Department of Education. (2016). K to 12 curriculum guide science (Grade 3 to Grade 10). Retrieved from https://www.deped.gov.ph/wpcontent/uploads/2019/01/Science-CG_with-tagged-sci-equipment_revised.pdf Department of Education. (2020). K to 12 Most Essential Learning Competencies with Corresponding CG Codes. Retrieved from https://commons.deped.gov.ph/K-to12-MELCS-with-CG-Codes.pdf DepEd Order No. 29, s. 2017 - Policy Guidelines on system assessment in the K to 12 Basic Education Program. Retrieved from https://www.deped.gov.ph/2017/06/05/do-29-s-2017-policy-guidelines-onsystem-assessmentin-the-k-to-12-basic-education-program/ DepEd Order No. 41, s. 2004 - Revised Curriculum of the 110 S & T Oriented (ESEP) High Schools. Retrieved from https://www.deped.gov.ph/2004/06/15/do-41-s2004-revised-curriculum-of-the-110-s-t-oriented-esephigh-school/ DepEd Order No. 55, s. 2010 - Policies and Guidelines on Strengthening Science and Mathematics Education at the Secondary Level. Retrieved from https://www.deped.gov.ph/2010/05/17/do-55-s-2010-policies-andguidelineson-strengthening-science-and-matematics-education-at-the-secondary-level/ Diezmann, C. M. (2014). Investigations as the basis for mathematical inquiry. Paper presented at the Ninth International Conference on Thinking, Auckland, New Zealand, 15-19 January Diezmann, C., Watters, J., & English, L. (2014). Implementing Mathematical Investigations With Young Children. In Proceedings 24th Annual Conference of the Mathematics Education Research Group of Australasia, 170–177. Ernest, P. (1991). The philosophy of mathematics education: Studies in mathematics education. London: The Falmer Press Ernest, P., Skovsmose, O., van Bendegem, J., P., Bicudo, M., Miarka, R., Kvasz, L., & Moeller, R. (2016). The Philosophy of Mathematics Education. Springer Nature. Etcuban, J. O., & Pantinople, L. D. (2018). The effects of mobile application in teaching high school mathematics. International Electronic Journal of Mathematics Education, 13(3), 249-259. https://doi.org/10.12973/iejme/3906 Evans, J. (1987). Investigations: The state of the art. Mathematics in School, 16(1), 2730. NORTHWESTERN UNIVERSITY Vedasto J. Samonte School of Graduate Studies Laoag City Tel. No. (077) 670 – 8609 to 10 Fax: (077) 771 – 3814 E-mail: info@nwu.edu.ph. Website:www.nwu.edu.ph 3 ====================================================================== 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 Feldman, L. P.(2018). Using Performance Assessments to Improve Number Sense in Second Grade Mathematics: An Action Research Study. (Doctoral dissertation). Retrieved from https://scholarcommons.sc.edu/etd/4759 Ganal, N. N., & Guiab, M. R. (2014). Problems and difficulties encountered by students towards mastering learning competencies in mathematics. Researchers World, 5(4), 25. Retrieved from http://bit.ly/2X0dJc8 Gates, P and Vistro-Yu, C (2013). Is Mathematics for All? In Keitel, C et al (Eds). Second International Handbook of Mathematics Education, Dordrecht, Kluwer. pp31-73. Göransson, K., Hellblom-Thibblin, T., & Axdorph, E. (2016). A conceptual approach to teaching mathematics to students with intellectual disability. Scandinavian Journal of Educational Research, 60(2), 182-200 Greenes, C. (1996). Investigations: Vehicles for learning and doing mathematics. Journal of Education, 178(2), 35-49. Gronmo, L. S., Lindquist, M., Arora, A., & Mullis, I. V. S. (2013). TIMSS 2015 Mathematics Framework.In I. Mullis, & M. Martin (Eds.) TIMSS 2015 Assessment Frameworks (11-24). United States: TIMSS & PIRLS International Study Center, Lynch School of Education, Boston College, and International Association for the Evaluation of Educational Achievement (IEA). Retrieved from https://timssandpirls.bc.edu/timss2015/frameworks.html Grouws, D and Cebulla (2016), Handbook for Research on Mathematics Teaching and Learning (pp. 334-370). New York: MacMillan. Guinocor, M. (2020) INTERNATIONAL ELECTRONIC JOURNAL OF MATHEMATICS EDUCATION e-ISSN: 1306-3030. 2020, Vol. 15, No. 3, em0586 https://doi.org/10.29333/iejme/7859 Handal, B., & Herrington, A. (2003). Mathematics teachers’ beliefs and curriculum reform. Mathematics education research journal, 15(1), 59-69. Handal, B., & Herrington, A. (2013). Assessment of Mathematical Investigation Skills in Undergraduate Mathematics Courses. International Journal of Mathematical Education in Science and Technology, 34(5), 745-760. Huang, J., & Liao, Y. (2017). Developing Mathematical Investigation Skills through Problem-Based Learning. EURASIA Journal of Mathematics, Science and Technology Education, 13(6), 2253-2268. Inglis, M., & Foster, C. (2018). Five decades of mathematics education research. Journal for Research in Mathematics Education, 49(4), 462-500. Karakus, F., & Bozkurt, A. (2019). Developing Mathematical Investigation Skills in Primary Education. European Journal of Educational Research, 8(1), 109-118. Kaushar, M. (2013). Study of impact of time management on academic performance of college students. Journal of Business and Management, 9(6), 59-60. https://doi.org/10.9790/487X-0965960 Leatham, K. R., & Peterson, B. E. (2010). Secondary mathematics cooperating teachers’ perceptions of the purpose of student teaching. Journal of Mathematics Teacher Education, 13(2), 99-119. https://doi.org/10.1007/s10857-009-9125-0 Lesh, R., & Doerr, H. (2013). Symbolizing, communicating, and mathematizing: Key components of models and modeling. In P. Cobb & E. Yackel (Eds.), Symbolizing, communicating, and mathematizing (pp. 361-384) Mahwah, NJ: Lawrence Erlbaum. NORTHWESTERN UNIVERSITY Vedasto J. Samonte School of Graduate Studies Laoag City Tel. No. (077) 670 – 8609 to 10 Fax: (077) 771 – 3814 E-mail: info@nwu.edu.ph. Website:www.nwu.edu.ph 4 ====================================================================== 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 Maltese, A. V., & Tai, R. H. (2011). Pipeline persistence: Examining the association of educational experiences with earned degrees in STEM among US students. Science education, 95(5), 877-907. https://doi.org/10.1002/sce.20441 Marshman, M., Clark, D., & Carey, M. (2015). The Use of Mathematical Investigations in a Queensland Primary School and Implications for Professional Development. International Journal for Mathematics Teaching and Learning, (April), 20. Retrieved from http://proxy.library.vcu.edu/login?url=http://search.proquest.com/docview/169 7494409?accountid=14780%5Cnhttp://vcu-almaprimo.hosted.exlibrisgroup.com/openurl/VCU/vcu_services_page?url_ver=Z3 9.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&genre=article Marshman, M., Pendergast, D., & Brimmer, F. (2011). Engaging the middle years in mathematics. In Australasia).and the Australian Association of Mathematics Teachers). Adelaide: AAMT and J. Clark, B. Kissane, J. Mousley, T. Spencer, & S. Thornton (Eds.), Mathematics: Traditions and [New] Practices (Proceedings of the 34th annual conference of the Mathematics Education Research Group of MERGA. Nivera, G. (2012). Mathematical investigations and its assessment: Implications to teaching and learning. The Normal Lights Journal on Teacher Education, 6 (1), pp. 56 -66. Ogena, E and Tan, M (2006) Formulation of National Learning Strategies in Science and Mathematics Education. First Draft. Basic Education Reform Agenda, Department of Education Ogena, E. O., Brawner, F. G., & Ibe, M. D. (2013). Preparing teachers of Mathematics in the Philippines. In J. Schwille, L. Ingvarson, & R. Holdgreve-Resendez (Eds), TEDS- M Encyclopedia, a guide to teacher education context, structure and quality assurance in 17 countries, findingsfrom the IEAteacher education and development study in Mathematics. Amsterdam, Netherlands: International Association for the Evaluation of Educational Achievement (IEA) Orton, A. &Forbisher,L. (2005). Insights into teaching mathematics. London: Continuum Pimm, D., & Wagner, D. (2003). Investigation, mathematics education and genre. [An Essay Review of the book Writing mathematically: The discourse of investigation, by Candia Morgan]. Educational Studies in Mathematics, 53(2), 159-178. Ponte, J. P. da. (2011). Exploring and investigating in mathematics teaching and learning. ICME 11 Proceedings, 208–228. Retrieved from https://www.mathunion.org/fileadmin/ICMI/files/About_ICMI/Publications_a bout_ICMI/ICME_11/da_Ponte.pdf Republic of the Philippines (2013). Republic Act No. 10533 known as An Act Enhancing the Philippine Basic Education System by Strengthening its Curriculum and Increasing the Number of Years for Basic Education,Appropriating Funds Therefor and for Other Purposes. Retrieved from http://www.officialgazette.gov.ph/2013/05/15/republic-act-no-10533 Rogoff, B. (1990). Apprenticeship in thinking: Cognitive development in social context. Oxford University Press. NORTHWESTERN UNIVERSITY Vedasto J. Samonte School of Graduate Studies Laoag City Tel. No. (077) 670 – 8609 to 10 Fax: (077) 771 – 3814 E-mail: info@nwu.edu.ph. Website:www.nwu.edu.ph 5 ====================================================================== 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 Ronda, E. (2010). What is mathematical investigations? Retrieved on April 3, 2015 from http://math4teaching.com/2010/03/09/what-is-mathematicalinvestigation/. SEI-DOST & MATHTED, (2011). Mathematics framework for Philippine Basic Education. Manila: SEI-DOST & MATHTED Steffy, B. (1995). Authentic assessment and curriculum alignment. Massachusetts: ProActive Publications. Sumarna, N., Wahyudin, & Herman, T. (2017). The Increase of Critical Thinking Skills through Mathematical Investigation Approach. In Journal of Physics: Conference Series (Vol. 812). Institute of Physics Publishing. https://doi.org/10.1088/1742-6596/812/1/012067 Swan, M. (2009). Improving learning in mathematics: Dean’s lecture series [Pamphlet]. Melbourne, Victoria: University of Melbourne. Tayag, J. et al. (2020). Relationship between Student Achievement and Performance Task Scores in Math. Retrieved from https://www.researchgate.net/publication/343910808_Relationship_between_S tudent_Achievement_and_Performance_Task_Scores_in_Math Trends in International Mathematics and Science Study (TIMSS) (2003). https://nces.ed.gov/timss/countries.asp Wei, M. H., & Dzeng, H. (2014). A comparison study of math education and math performance between Asian countries and the United States. Journal of Socialomics, 3(02), 2167-0358. https://doi.org/10.4172/2167- 0358.1000111 Wiggins, G. P., and McTighe, J. (2015). Understanding by Design (2nd ed.). Upper Saddle River, NJ: Pearson Education, Inc. Print. Woodward, J. (2004). Mathematics education in the United States: Past to present. Journal of Learning Disabilities, 37(1), 16-31. Yeo, J. B., & Yeap, B. H. (2010). Characterising the Cognitive Processes in Mathematical Investigation. International Journal for Mathematics Teaching and Learning, 10. Retrieved from http://libaccess.mcmaster.ca/login?url=http://search.proquest.com/docview/82 2506743?accountid=12347 Zeng, L., & Yang, L. (2019). Promoting Mathematical Investigation Skills through Mathematical Modeling. EURASIA Journal of Mathematics, Science and Technology Education, 15(9), em1742. Zulkardi, & Indra Prahmana, R. C. (2021). The journey of journal on mathematics education: From local to global. Journal on Mathematics Education, 12(3), 389– 410. https://doi.org/10.22342/JME.12.3.15001.389-410