### Mathematical Connections Made During Investigative Tasks in Statistics and Probability

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#### References

C. Dede. “Transforming education for the 21st century: New pedagogies that help all students attain sophisticated learning outcomes,” Commissioned by the NCSU Friday Institute, February. 2007 Feb.

J. Eli, et al., “Mathematical connections and their relationship to mathematics knowledge for teaching geometry,” School Science and Mathematics, vol/issue: 113(3), pp. 120-34, 2013.

SEAMEO INNOTECH, “K to 12 Toolkit: Resource Guide for Teacher Educators, School Administrators, and Teachers,” Quezon City: SEAMEO INNOTECH, 2012

Association of Mathematics Teacher Educators [AMTE]. “Standards for preparing teachers of mathematics,” amte.net/standards, 2017.

National Council of Teachers of Mathematics (Ed.), “Principles and standards for school mathematics,” vol. 1, Washington: National Council of Teachers of Mathematics, 2000.

J. García-García and C. Dolores-Flores, “Intra-mathematical connections made by high school students in performing Calculus tasks,” International Journal of Mathematical Education in Science and Technology, vol/issue: 49(2), pp. 227-252, https://doi.org/10.1080/0020739X.2017.1355994, 2018.

M. Alsaeed “Teacher knowledge that supports student processes in learning mathematics: A study at all-female middle schools in Saudi Arabia,” Dissertation: Ohio University (Order No. 3519205). Available from ProQuest Dissertations & Theses Global. (1034564788). https://search.proquest.com/docview/1034564788?accountid=173015, 2012.

A. Downton and P. Sullivan, “Posing complex problems requiring multiplicative thinking prompts students to use sophisticated strategies and build mathematical connections,” Educ StudMath vol. 95, pp. 303–328, https://doi.org/10.1007/s10649-017-9751-x, 2017.

M. Mhlolo, “Mathematical connections of a higher cognitive level: A tool we may use to identify these in practice,” African Journal of Research in Mathematics, Science and Technology Education, vol/issue: 16 (2), pp. 176-191, DOI: 10.1080/10288457.2012.10740738, 2012.

C. Ormond “Scaffolding the mathematical “connections”: A new approach to preparing teachers for the teaching of lower secondary Algebra,” Australian Journal of Teacher Education, vol/issue: 41(6), http://dx.doi.org/10.14221/ajte.2016v41n6.8, 2016.

P. Barmbyet et al., “The array representation and primary children’s understanding and reasoning in multiplication,” Educational Studies in Mathematics, vol/issue: 70(3), pp. 217-241, http://dx.doi.org/10.1007/s10649-008-9145-1, 2009.

A. Businskas, “Conversations about connections: How secondary mathematics teachers conceptualize and contend with mathematical connections,” Dissertation: Simon Fraser University (Order No. NR58735). Available from ProQuest Central; ProQuest Dissertations & Theses Global. (304353570). https://search.proquest.com/docview/304353570?accountid=173015, 2008.

J. Eli, “An exploratory mixed-methods study of prospective middle grades teachers' mathematical connections while completing investigative tasks in geometry,” (Doctoral dissertation). University of Kentucky, Lexington, Kentucky, United States of America, 2009.

D. Ball, “Mathematics in the 21st century: What mathematical knowledge is needed for teaching mathematics,” US Department of Education. https://www2.ed.gov/rschstat/research/progs/mathscience/ball.html, 2005.

J. Eli, et al., “Exploring mathematical connections of prospective middle-grades teachers through card-sorting tasks,” Mathematics Education Research Journal, vol/issue: 23(3), pp. 297-319, DOI:10.1007/s13394-011-0017-0, 2011.

M. Islami, et al., “The Mathematical Connections Process of Junior High School Students with High and Low Logical-Mathematical Intelligence in Solving Geometry Problems,” International Journal of Advanced Engineering Research and Science, vol.issue: 5(4), pp. 237427, https://dx.doi.org/10.22161/ijaers.5.4.3, 2018.

A. Pramasdyahsari, et al., “Connecting university mathematics and school mathematics to address Klein’s double discontinuity: A case of ring theory,” Beta: Jurnal Tadris Matematika, vol/issue: 12(2), pp. 122-132, DOI: 10.20414/betajtm.v12i2.336, 2019.

J. Álvarez and D. White, “Making mathematical connections between Abstract Algebra and secondary mathematics explicit: Implications for curriculum, research, and faculty professional development,” In: Wasserman N. (eds) Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers, Research in Mathematics Education. Springer, Cham, https://doi.org/10.1007/978-3-319-99214-3_9, 2018.

C. Dolores-Flores, et al., “Exploring mathematical connections of pre-university students through tasks involving rates of change,” International Journal of Mathematical Education in Science and Technology, vol/issue: 50(3), pp. 369-389, DOI: 10.1080/0020739X.2018.1507050, 2019.

J. García-García, and C. Dolores-Flores, “Exploring pre-university students’ mathematical connections when solving Calculus application problems,” International Journal of Mathematical Education in Science and Technology, pp. 1-25, DOI: 10.1080/0020739X.2020.1729429, 2020.

Sarkam, et al., “Mathematical connections ability is solving trigonometry problems based on logical-mathematical intelligence level,” Journal of Physics: Conference Series vol/issue: 1188(1), pp. 012022, DOI:10.1088/1742-6596/1188/1/012022, 2018.

S. Saleh, et al. “Elementary school teachers’ mathematical connections in solving Trigonometry problem,” Research in Social Sciences and Technology, vol/issue: 3(3), pp. 32-41, https://doi.org/10.46303/ressat.03.03.3, 2018.

E. Reston, et al., “Statistics education research in Malaysia and the Philippines: A comparative analysis,” Statistics Education Research Journal, vol/issue: 13(2), 2014.

T. Koo and M. Li, “A guideline of selecting and reporting intraclass correlation coefficients for reliability research,” Journal of chiropractic medicine, vol/issue: 15(2), pp. 155-163, 2016.

N. Pirasa, “The connection competencies of pre-service mathematics teachers about geometric concepts to daily-life,” Universal Journal of Educational Research, vol/issue: 4(12), pp. 2840-2851, DOI: 10.13189/ujer.2016.041218, 2016.

W. Mwakapenda and J. Adler, “Using concept mapping to explore student understanding and experience of school mathematics,” African Journal of Research in Mathematics, Science and Technology Education, vol/issue: 7(1), pp. 51-62, DOI:10.1080/10288457.2003.10740548, 2003.

C. Malone, et al., “Resequencing topics in an introductory applied statistics course,” The American Statistician, vol/issue: 64(1), pp. 52-58. http://www.jstor.org.vlib.interchange.at/stable/25652348, 2010.

J. Dela Cruz and M. Lapinid, “Students’ difficulties in translating worded problems into mathematical symbols,” In The DLSU Research Congress Proceeding, 2014.

J. Goodrich, and J. Namkung, “Correlates of reading comprehension and word-problem solving skills of Spanish-speaking dual language learners,” Early Childhood Research Quarterly vol/issue: 48, pp. 256-266, https://doi.org/10.1016/j.ecresq.2019.04.006, 2019.

C. Buxton, et al. “Leveraging cultural resources through teacher pedagogical reasoning: Elementary grade teachers analyze second language learners’ science problem solving,” Teaching and Teacher Education vol. 32, pp. 31-42, http://dx.doi.org/10.1016/j.tate.2013.01.003, 2013.

L. Cooper, “An assessment of prospective secondary mathematics teachers' preparedness to teach statistics,” Dissertation: University of Maryland College Park (Order No. 3078386), Available from ProQuest Dissertations & Theses Global, (305565095). https://search.proquest.com/docview/305565095?accountid=172684, 2002.

Z. You and L. Wiest, “Take time for action: How students interpret graphs,” Mathematics Teaching in the Middle School, 15(4), 188-190. http://www.jstor.org.vlib.interchange.at/stable/41183091, 2009.

B. Karahasan, “Preservice secondary mathematics teachers’ pedagogical content knowledge of composite and inverse functions,” (Doctoral dissertation). Middle East Technical University, Ankara, Turkey. https://tez.yok.gov.tr/UlusalTezMerkezi/, 2010.

M. Sorto, “Prospective middle school teachers’ knowledge about data analysis and its application to teaching,” (Doctoral dissertation) Michigan State University, East Lansing, Michigan, United States of America, 2004.

R. Salviejo, “Unraveling students' problem-solving difficulty,” Advanced Science Letters vol/isuue: 24(11), pp. 8301-8305, DOI:10.1166/asl.2018.12546, 2018.

E. Arikan, et al., “An examination in Turkey: Error analysis of mathematics students on group theory,” Educational Research and Reviews vol/issue: 10(16), pp. 2352-2361, DOI: 10.5897/ERR2015.2329, 2015.

D. Pambudi, “Exploration of students mathematical connections with negative attitudes in solving a contextual geometry problem,” Journal of Physics: Conference Series vol. 1663, pp. 012031, DOI:10.1088/1742-6596/1663/1/012031, 2020.

M. Balagtas, et al., “21st century teacher image to stakeholders of teacher education institutions in the Philippines,” E-International Scientific Research Journal, 2011.

L. Cooper and F. Shore, “Students’ misconceptions in interpreting center and variability of data represented via histograms and stem-and-leaf plots,” Journal of Statistics Education, vol/issue: 16(2), pp. 1-13, 2008.

T. Evitts, “Investigating the mathematical connections that preservice teachers use and develop while solving problems from reform curricula,” Dissertation: Pennsylvania State University (Order No. 3157533). Available from ProQuest Dissertations & Theses Global. (305151710), 2004.

K. Kandari and L. Zanthy, “Mathematical connection ability: Impact of contextual teaching and learning approaches in flat space lesson,” Desimal: Jurnal Matematika vol/issue: 3(1), pp. 37-44, DOI:10.24042/djm.v3i1.4467, 2020.

M. Applebaum and R. Leikin, “Translations toward connected mathematics,” The Mathematics Teacher, vol/issue: 103(8), pp. 562-569, 2010.

I. Gil, et al. “After Presenting multiple solution strategies, what’s next? Examining the mathematical connections made by preservice teachers,” Journal of Mathematics Education at Teachers College, vol/issue: 10(2), pp. 9-20, https://doi.org/10.7916/jmetc.v10i2.4191, 2019.

DOI: http://doi.org/10.11591/ijere.v11i1.21730

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