When Am I (N)ever Going to Use This? How Algebraic Functions Are Used in STEM-Related Careers

Author:
Candace Walkington Southern Methodist University

Search for other papers by Candace Walkington in
Current site
Google Scholar
PubMed
Close
,
Matthew Bernacki University of North Carolina at Chapel Hill

Search for other papers by Matthew Bernacki in
Current site
Google Scholar
PubMed
Close
,
Elizabeth Leyva Texas A&M University–San Antonio

Search for other papers by Elizabeth Leyva in
Current site
Google Scholar
PubMed
Close
, and
Brooke Istas Cowley College

Search for other papers by Brooke Istas in
Current site
Google Scholar
PubMed
Close

Algebra has been identified as a gatekeeper to careers in STEM, but little research exists on how algebra appears for practitioners in the workplace. Surveys and interviews were conducted with 77 STEM practitioners from a variety of fields, examining how they reported using algebraic functions in their work. Survey and interview reports suggest that linear functions may be ubiquitous in the workplace but that nonlinear functions are less often reported to be explicitly used. STEM practitioners report often using algebra functions as calculations or formulas rather than symbolic equations, and many justify the importance of algebra in its relation to statistics and data analysis. We provide recommendations for future research.

Footnotes

This work was supported by the National Science Foundation under Grant Nos. DRL 1759195 and DRL 1851680. Any opinions, findings, conclusions, or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation. Thank you to Kasi Holcomb-Webb, Mitchell Nathan, Harsha Perera, and Neil Heffernan for their contributions to this research.

Contributor Notes

Candace Walkington, Department of Teaching and Learning, Southern Methodist University, Dallas, TX 75205; cwalkington@smu.edu

Matthew Bernacki, School of Education, University of North Carolina at Chapel Hill, Chapel Hill, NC 27599; mlb@unc.edu

Elizabeth Leyva, Department of Mathematical, Physical, and Engineering Sciences, Texas A&M University–San Antonio, San Antonio, TX 78224; eleyva@tamusa.edu

Brooke Istas, Department of Science, Computer Technology, Engineering & Mathematics (STEM), Cowley College, Arkansas City, KS 67005; brooke.istas@cowley.edu

  • Collapse
  • Expand
Journal for Research in Mathematics Education
  • Allensworth, E., Nomi, T., Montgomery, N., & Lee, V. E. (2009). College preparatory curriculum for all: Academic consequences of requiring algebra and English I for ninth graders in Chicago. Educational Evaluation and Policy Analysis, 31(4), 367391. https://doi.org/10.3102/0162373709343471

    • Search Google Scholar
    • Export Citation
  • Banilower, E. R., Smith, P. S., Malzahn, K. A., Plumley, C. L., Gordon, E. M., & Hayes, M. L. (2018). Report of the 2018 NSSME+. Horizon Research. https://horizon-research.com/NSSME/2018-nssme-reports-articles/technical-report

    • Search Google Scholar
    • Export Citation
  • Barab, S., Zuiker, S., Warren, S., Hickey, D., Ingram-Goble, A., Kwon, E.-J., Kouper, I., & Herring, S. C. (2007). Situationally embodied curriculum: Relating formalisms and contexts. Science Education, 91(5), 750782. https://doi.org/10.1002/sce.20217

    • Search Google Scholar
    • Export Citation
  • Bartell, T. G. (2013). Learning to teach mathematics for social justice: Negotiating social justice and mathematical goals. Journal for Research in Mathematics Education, 44(1), 129163. https://doi.org/10.5951/jresematheduc.44.1.0129

    • Search Google Scholar
    • Export Citation
  • Barton, A. C., & Tan, E. (2009). Funds of knowledge and discourses and hybrid space. Journal of Research in Science Teaching, 46(1), 5073. https://doi.org/10.1002/tea.20269

    • Search Google Scholar
    • Export Citation
  • Biernacki, P., & Waldorf, D. (1981). Snowball sampling: Problems and techniques of chain referral sampling. Sociological Methods and Research, 10(2), 141163. https://doi.org/10.1177/004912418101000205

    • Search Google Scholar
    • Export Citation
  • Blum, W., & Niss, M. (1991). Applied mathematical problem solving, modelling, applications, and links to other subjects: State, trends and issues in mathematics instruction. Educational Studies in Mathematics, 22(1), 3768. https://doi.org/10.1007/BF00302716

    • Search Google Scholar
    • Export Citation
  • Bose, A., & Farsani, D. (2023). Making visible “the invisible”: Can mathematics embedded in work practices enable critical questioning? The Journal of Mathematical Behavior, 70, Article 101028. https://doi.org/10.1016/j.jmathb.2022.101028

    • Search Google Scholar
    • Export Citation
  • Bransford, J., & Schwartz, D. (1999). Rethinking transfer: A simple proposal with multiple implications. Review of Research in Education, 24(1), 61100. https://doi.org/10.3102/0091732X024001061

    • Search Google Scholar
    • Export Citation
  • Braun, V., & Clarke, V. (2006). Using thematic analysis in psychology. Qualitative Research in Psychology, 3(2), 77101. https://doi.org/10.1191/1478088706qp063oa

    • Search Google Scholar
    • Export Citation
  • Braun, V., & Clarke, V. (2012). Thematic analysis. In H. Cooper, P. M. Camic, D. L. Long, A. T. Panter, D. Rindskopf, & K. J. Sher (Eds.), APA handbook of research methods in psychology, Vol. 2. Research designs: Quantitative, qualitative, neuropsychological, and biological (pp. 5771). American Psychological Association. https://doi.org/10.1037/13620-004

    • Search Google Scholar
    • Export Citation
  • Braun, V., & Clarke, V. (2019). Reflecting on reflexive thematic analysis. Qualitative Research in Sport, Exercise and Health, 11(4), 589597. https://doi.org/10.1080/2159676X.2019.1628806

    • Search Google Scholar
    • Export Citation
  • Burdman, P., Booth, K., Thorn, C., Bahr, P. R., McNaughtan, J., & Jackson, G. (2018). Multiple paths forward: Diversifying mathematics as a strategy for college success. WestEd. https://justequations.org/resource/multiple-paths-forward-diversifying-math-pathways-as-a-strategy-for-college-success

    • Search Google Scholar
    • Export Citation
  • Carraher, T. N., Schliemann, A. D., & Carraher, D. W. (1988). Mathematical concepts in everyday life. New Directions for Child and Adolescent Development, 1988(41), 7187. https://doi.org/10.1002/cd.23219884106

    • Search Google Scholar
    • Export Citation
  • Chazan, D. (1999). On teachers’ mathematical knowledge and student exploration: A personal story about teaching a technologically supported approach to school algebra. International Journal of Computers for Mathematical Learning, 4(2–3), 121149. https://doi.org/10.1023/A:1009875213030

    • Search Google Scholar
    • Export Citation
  • Civil, M. (2007). Building on community knowledge: An avenue to equity in mathematics education. In N. S. Nasir & P. Cobb (Eds.), Improving access to mathematics: Diversity and equity in the classroom (pp. 105117). Teachers College Press.

    • Search Google Scholar
    • Export Citation
  • Civil, M. (2016). STEM learning research through a funds of knowledge lens. Cultural Studies of Science Education, 11(1), 4159. https://doi.org/10.1007/s11422-014-9648-2

    • Search Google Scholar
    • Export Citation
  • Cobb, P., & Bowers, J. (1999). Cognitive and situated learning perspectives in theory and practice. Educational Researcher, 28(2), 415. https://doi.org/10.3102/0013189X028002004

    • Search Google Scholar
    • Export Citation
  • Cobb, P., & Hodge, L. L. (2002). A relational perspective on issues of cultural diversity and equity as they play out in the mathematics classroom. Mathematical Thinking and Learning, 4(2–3), 249284. https://doi.org/10.1207/S15327833MTL04023_7

    • Search Google Scholar
    • Export Citation
  • Complete College America. (2012). Remediation: Higher education’s bridge to nowhere.

  • Coppock, A., Leeper, T. J., & Mullinix, K. J. (2018). Generalizability of heterogeneous treatment effect estimates across samples. Proceedings of the National Academy of Sciences, 115(49), 1244112446. https://doi.org/10.1073/pnas.1808083115

    • Search Google Scholar
    • Export Citation
  • Darwin, T., Walkington, C., & Pruitt-Britton, T. (2022). Connecting learning in higher education to students’ career and personal interests. In S. P. Huffman, D. D. Cunningham, M. Shavers, & R. Adamson (Eds.), Handbook of research on opening pathways for marginalized individuals in higher education (pp. 147170). IGI Global. https://doi.org/10.4018/978-1-6684-3819-0.ch009

    • Search Google Scholar
    • Export Citation
  • Dawes, M. M. (2007). Workplace mathematics: A study of mathematics in use in the UK assurance division of an international accounting firm [Doctoral dissertation, King’s College London]. https://kclpure.kcl.ac.uk/portal/en/studentTheses/workplace-mathematics-a-study-of-mathematics-in-use-in-the-uk-ass

    • Search Google Scholar
    • Export Citation
  • Douglas, D., & Attewell, P. (2017). School mathematics as gatekeeper. The Sociological Quarterly, 58(4), 648669. https://doi.org/10.1080/00380253.2017.1354733

    • Search Google Scholar
    • Export Citation
  • Dubinsky, E., & McDonald, M. A. (2001). APOS: A constructivist theory of learning in undergraduate mathematics education research. In D. Holton (Ed.), The teaching and learning of mathematics at university level (pp. 275282). Springer. https://doi.org/10.1007/0-306-47231-7_25

    • Search Google Scholar
    • Export Citation
  • Duchhardt, C., Jordan, A.-K., & Ehmke, T. (2017). Adults’ use of mathematics and its influence on mathematical competence. International Journal of Science and Mathematics Education, 15(1), 155174. https://doi.org/10.1007/s10763-015-9670-1

    • Search Google Scholar
    • Export Citation
  • Faulkner, B., Johnson-Glauch, N., Choi, D. S., & Herman, G. L. (2020). When am I ever going to use this? An investigation of the calculus content of core engineering courses. Journal of Engineering Education, 109(3), 402423. https://doi.org/10.1002/jee.20344

    • Search Google Scholar
    • Export Citation
  • FitzSimons, G. E., & Björklund Boistrup, L. (2017). In the workplace mathematics does not announce itself: Towards overcoming the hiatus between mathematics education and work. Educational Studies in Mathematics, 95(3), 329349. https://doi.org/10.1007/s10649-017-9752-9

    • Search Google Scholar
    • Export Citation
  • FitzSimons, G., Mlcek, S., Hull, O., & Wright, C. (2005). Learning numeracy on the job: A case study of chemical handling and spraying. National Centre for Vocational Education Research. https://www.ncver.edu.au/research-and-statistics/publications/all-publications/learning-numeracy-on-the-job-a-case-study-of-chemical-handling-and-spraying

    • Search Google Scholar
    • Export Citation
  • Gainsburg, J. (2006). The mathematical modeling of structural engineers. Mathematical Thinking and Learning, 8(1), 336. https://doi.org/10.1207/s15327833mtl0801_2

    • Search Google Scholar
    • Export Citation
  • Gerofsky, S. (2004). A man left Albuquerque heading east: Word problems as genre in mathematics education. Peter Lang.

  • Gordon, S. P. (2008). What’s wrong with college algebra? PRIMUS, 18(6), 516541. https://doi.org/10.1080/10511970701598752

  • Greeno, J. G. (1991). Number sense as situated knowing in a conceptual domain. Journal for Research in Mathematics Education, 22(3), 170218. https://doi.org/10.2307/749074

    • Search Google Scholar
    • Export Citation
  • Greeno, J. G. (1997). On claims that answer the wrong questions. Educational Researcher, 26(1), 517. https://doi.org/10.3102/0013189X026001005

    • Search Google Scholar
    • Export Citation
  • Greeno, J. G. (1998). The situativity of knowing, learning, and research. American Psychologist, 53(1), 526. https://doi.org/10.1037/0003-066X.53.1.5

    • Search Google Scholar
    • Export Citation
  • Greeno, J. G. (2006). Learning in activity. In R. K. Sawyer (Ed.), The Cambridge handbook of the learning sciences (pp. 7996). Cambridge University Press. https://doi.org/10.1017/CBO9780511816833.007

    • Search Google Scholar
    • Export Citation
  • Gutstein, E. (2006). Reading and writing the world with mathematics: Toward a pedagogy for social justice. Routledge.

  • Hacker, A. (2012, July 29). Is algebra necessary? New York Times. https://www.nytimes.com/2012/07/29/opinion/sunday/is-algebra-necessary.html

    • Search Google Scholar
    • Export Citation
  • Hahn, C. (2014). Linking academic knowledge and professional experience in using statistics: A design experiment for business school students. Educational Studies in Mathematics, 86(2), 239251. https://doi.org/10.1007/s10649-011-9363-9

    • Search Google Scholar
    • Export Citation
  • Handel, M. J. (2016). The O*NET content model: Strengths and limitations. Journal for Labour Market Research, 49, 157176. https://doi.org/10.1007/s12651-016-0199-8

    • Search Google Scholar
    • Export Citation
  • Harmon, L. W., DeWitt, D. W., Campbell, D. P., & Hansen, J.-I. C. (1994). Strong interest inventory: Applications and technical guide: Form T317 of the strong vocational interest blanks. Stanford University Press.

    • Search Google Scholar
    • Export Citation
  • Herriott, S. R., & Dunbar, S. R. (2009). Who takes college algebra? PRIMUS, 19(1), 7487. https://doi.org/10.1080/10511970701573441

  • Hoyles, C., Noss, R., Kent, P., & Bakker, A. (2010). Improving mathematics at work: The need for techno-mathematical literacies. Routledge. https://doi.org/10.4324/9780203854655

    • Search Google Scholar
    • Export Citation
  • Hoyles, C., Noss, R., Kent, P., & Bakker, A. (2013). Mathematics in the workplace: Issues and challenges. In A. Damlamian, J. F. Rodrigues, & R. Sträßer (Ed.), Educational interfaces between mathematics and industry: Report on an ICMI-ICIAM study (pp. 4350). Springer. https://doi.org/10.1007/978-3-319-02270-3_4

    • Search Google Scholar
    • Export Citation
  • Hoyles, C., Noss, R., & Pozzi, S. (2001). Proportional reasoning in nursing practice. Journal for Research in Mathematics Education, 32(1), 427. https://doi.org/10.2307/749619

    • Search Google Scholar
    • Export Citation
  • Islam, A., Lee, W.-S., & Nicholas, A. (2021). The effects of chess instruction on academic and non-cognitive outcomes: Field experimental evidence from a developing country. Journal of Development Economics, 150, Article 102615. https://doi.org/10.1016/j.jdeveco.2020.102615

    • Search Google Scholar
    • Export Citation
  • Jenifer, J. B., Jaxon, J., Levine, S. C., & Cimpian, A. (2023). “You need to be super smart to do well in math!”: Young children’s field-specific ability beliefs. Developmental Science, 27(1), Article e13429. https://doi.org/10.1111/desc.13429

    • Search Google Scholar
    • Export Citation
  • Jerrim, J., Macmillan, L., Micklewright, J., Sawtell, M., & Wiggins, M. (2018). Does teaching children how to play cognitively demanding games improve their educational attainment?: Evidence from a randomized controlled trial of chess instruction in England. Journal of Human Resources, 53(4), 9931021. https://doi.org/10.3368/jhr.53.4.0516-7952R

    • Search Google Scholar
    • Export Citation
  • Kaput, J. J. (2017). What is algebra? What is algebraic reasoning? In J. J. Kaput, D. W. Carraher, & M. L. Blanton (Eds.), Algebra in the early grades (pp. 518). Routledge. https://doi.org/10.4324/9781315097435-2

    • Search Google Scholar
    • Export Citation
  • Kent, P., Noss, R., Guile, D., Hoyles, C., & Bakker, A. (2007). Characterizing the use of mathematical knowledge in boundary-crossing situations at work. Mind, Culture, and Activity, 14(1–2), 6482. https://doi.org/10.1080/10749030701307747

    • Search Google Scholar
    • Export Citation
  • Kosovich, J. J., Hulleman, C. S., Phelps, J., & Lee, M. (2019). Improving algebra success with a utility-value intervention. Journal of Developmental Education, 42(2), 210.

    • Search Google Scholar
    • Export Citation
  • Kwon, H., Vela, K., Williams, A. M., & Barroso, L. R. (2019). Mathematics and science self-efficacy and STEM careers: A path analysis. Journal of Mathematics Education, 12(1), 7489.

    • Search Google Scholar
    • Export Citation
  • Lave, J. (1988). Cognition in practice: Mind, mathematics and culture in everyday life. Cambridge University Press. https://doi.org/10.1017/CBO9780511609268

    • Search Google Scholar
    • Export Citation
  • Levin, M., & Walkoe, J. (2022). Seeds of algebraic thinking: A Knowledge in Pieces perspective on the development of algebraic thinking. ZDM, 54(6), 13031314. https://doi.org/10.1007/s11858-022-01374-2

    • Search Google Scholar
    • Export Citation
  • Lobato, J. (2012). The actor-oriented transfer perspective and its contributions to educational research and practice. Educational Psychologist, 47(3), 232247. https://doi.org/10.1080/00461520.2012.693353

    • Search Google Scholar
    • Export Citation
  • Magajna, Z., & Monaghan, J. (2003). Advanced mathematical thinking in a technological workplace. Educational Studies in Mathematics, 52(2), 101122. https://doi.org/10.1023/A:1024089520064

    • Search Google Scholar
    • Export Citation
  • Manger, T., & Eikeland, O.-J. (1997). The effect of social comparison on mathematics self-concept. Scandinavian Journal of Psychology, 38(3), 237241. https://doi.org/10.1111/1467-9450.00032

    • Search Google Scholar
    • Export Citation
  • Mesa, V., Suh, H., Blake, T., & Whittemore, T. (2012). Examples in college algebra textbooks: Opportunities for students’ learning. PRIMUS, 23(1), 76105. https://doi.org/10.1080/10511970.2012.667515

    • Search Google Scholar
    • Export Citation
  • Millroy, W. L. (1991). An ethnographic study of the mathematical ideas of a group of carpenters. Learning and Individual Differences, 3(1), 125. https://doi.org/10.1016/1041-6080(91)90002-I

    • Search Google Scholar
    • Export Citation
  • Morton, K., & Riegle-Crumb, C. (2020). Is school racial/ethnic composition associated with content coverage in algebra? Educational Researcher, 49(6), 441447. https://doi.org/10.3102/0013189X20931123

    • Search Google Scholar
    • Export Citation
  • Moses, R. P., & Cobb, C. E., Jr. (2001). Radical equations: Math literacy and civil rights. Beacon Press.

  • National Center on Education and the Economy. (2013). What does it really mean to be college and work ready? The mathematics required of first year community college students. http://ncee.org/wp-content/uploads/2013/05/NCEE_MathReport_May20131.pdf

    • Search Google Scholar
    • Export Citation
  • National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. https://www.nctm.org/Standards-and-Positions/Principles-and-Standards/

    • Search Google Scholar
    • Export Citation
  • National Governors Association Center for Best Practices & Council of Chief State School Officers. (2010). Common core state standards for mathematics. http://www.corestandards.org

    • Search Google Scholar
    • Export Citation
  • National Mathematics Advisory Panel. (2008). Foundations for success: The final report of the National Mathematics Advisory Panel. U.S. Department of Education. https://eric.ed.gov/?id=ED500486

    • Search Google Scholar
    • Export Citation
  • National Research Council. (1995). Mathematical preparation of the technical workforce: Report of a workshop. National Academies Press. https://doi.org/10.17226/9066

    • Search Google Scholar
    • Export Citation
  • National Research Council. (2001). Adding it up: Helping children learn mathematics. National Academies Press. https://doi.org/10.17226/9822

    • Search Google Scholar
    • Export Citation
  • National Research Council. (2013). The mathematical sciences in 2025. National Academies Press. https://doi.org/10.17226/15269

  • Okrent, A., & Burke, A. (2021). The STEM labor force of today: Scientists, engineers, and skilled technical workers. National Science Foundation.

    • Search Google Scholar
    • Export Citation
  • Orihuela, Y. R. (2006). Algebra I and other predictors of high school dropout [Doctoral dissertation, Florida International University]. FIU Institutional Repository. http://digitalcommons.fiu.edu/dissertations/AAI3249717

    • Search Google Scholar
    • Export Citation
  • Oughton, H. (2010). Funds of knowledge: A conceptual critique. Studies in the Education of Adults, 42(1), 6378. https://doi.org/10.1080/02660830.2010.11661589

    • Search Google Scholar
    • Export Citation
  • Piesch, H., Gaspard, H., Parrisius, C., Wille, E., & Nagengast, B. (2020). How can a relevance intervention in math support students’ career choices? Journal of Applied Developmental Psychology, 71, Article 101185. https://doi.org/10.1016/j.appdev.2020.101185

    • Search Google Scholar
    • Export Citation
  • President’s Council of Advisors on Science and Technology. (2012). Engage to excel: Producing one million additional college graduates with degrees in science, technology, engineering, and mathematics: Report to the president. Executive Office of the President. https://eric.ed.gov/?id=ED541511

    • Search Google Scholar
    • Export Citation
  • Queiroz, M. R. P. P. P., Barbosa, J. C., Noss, R., & Hoyles, C. (2018). The gap between the financial mathematics expressed in textbooks and that practiced in banks. Acta Scientiae, 20(2), 96116. https://doi.org/10.17648/acta.scientiae.v20iss2id3816

    • Search Google Scholar
    • Export Citation
  • Reardon, S. F. (2011). The widening academic achievement gap between the rich and the poor: New evidence and possible explanations. In G. J. Duncan & R. J. Murnane (Eds.), Whither opportunity?: Rising inequality, schools, and children’s life chances (pp. 91116). Russell Sage.

    • Search Google Scholar
    • Export Citation
  • Rebello, S., & Cui, L. (2008). Retention and transfer of learning from math to physics to engineering. In 2008 Annual Conference & Exposition (pp. 13.1048.113.1048.14). American Society for Engineering Education. https://doi.org/10.18260/1-2--3778

    • Search Google Scholar
    • Export Citation
  • Rockmore, D. (2020, September 26). Is it time to kill calculus? Salon. https://www.salon.com/2020/09/26/teaching-data-science-instead-of-calculus-high-schools-math-debate/

    • Search Google Scholar
    • Export Citation
  • Roth, W.-M. (2014). Rules of bending, bending the rules: The geometry of electrical conduit bending in college and workplace. Educational Studies in Mathematics, 86(2), 177192. https://doi.org/10.1007/s10649-011-9376-4

    • Search Google Scholar
    • Export Citation
  • Saxe, G. B. (1988). Candy selling and math learning. Educational Researcher, 17(6), 1421. https://doi.org/10.3102/0013189X017006014

  • Seymour, E., & Hunter, A.-B. (2019). Talking about leaving revisited: Persistence, relocation, and loss in undergraduate STEM education. Springer. https://doi.org/10.1007/978-3-030-25304-2

    • Search Google Scholar
    • Export Citation
  • Sfard, A. (2013). Why mathematics? What mathematics. In M. Pitici (Ed.), The best writing on mathematics 2013 (pp. 130142). Princeton University Press. https://doi.org/10.1515/9781400847990-015

    • Search Google Scholar
    • Export Citation
  • Sinclair, N. M. (2002). Mindful of beauty: The roles of the aesthetic in the doing and learning of mathematics [Doctoral dissertation, Queen’s University]. National Library of Canada. https://central.bac-lac.gc.ca/.item?id=NQ69394&op=pdf&app=Library&oclc_number=55105036

    • Search Google Scholar
    • Export Citation
  • Smith, E. A. (2001). The role of tacit and explicit knowledge in the workplace. Journal of Knowledge Management, 5(4), 311321. https://doi.org/10.1108/13673270110411733

    • Search Google Scholar
    • Export Citation
  • Stein, M. K., Kaufman, J. H., Sherman, M., & Hillen, A. F. (2011). Algebra: A challenge at the crossroads of policy and practice. Review of Educational Research, 81(4), 453492. https://doi.org/10.3102/0034654311423025

    • Search Google Scholar
    • Export Citation
  • Stratton, S. J. (2021). Population research: Convenience sampling strategies. Prehospital and Disaster Medicine, 36(4), 373374. https://doi.org/10.1017/S1049023X21000649

    • Search Google Scholar
    • Export Citation
  • Su, R., Tay, L., Liao, H.-Y., Zhang, Q., & Rounds, J. (2019). Toward a dimensional model of vocational interests. Journal of Applied Psychology, 104(5), 690714. https://doi.org/10.1037/apl0000373

    • Search Google Scholar
    • Export Citation
  • Sulak, T. N., Wilson, R., Renbarger, R. L., Kaul, C. R., & O’Guinn, N. (2020). The relationships between numeracy scores and soft skills in employed and unemployed Americans. New Horizons in Adult Education and Human Resource Development, 32(2), 1939. https://doi.org/10.1002/nha3.20281

    • Search Google Scholar
    • Export Citation
  • Timmermans, S., & Tavory, I. (2012). Theory construction in qualitative research: From grounded theory to abductive analysis. Sociological Theory, 30(3), 167186. https://doi.org/10.1177/0735275112457914

    • Search Google Scholar
    • Export Citation
  • Triantafillou, C., & Potari, D. (2010). Mathematical practices in a technological workplace: The role of tools. Educational Studies in Mathematics, 74(3), 275294. https://doi.org/10.1007/s10649-010-9237-6

    • Search Google Scholar
    • Export Citation
  • Van der Wal, N. J., Bakker, A., & Drijvers, P. (2017). Which techno-mathematical literacies are essential for future engineers? International Journal of Science and Mathematics Education, 15(S1), S87S104. https://doi.org/10.1007/s10763-017-9810-x

    • Search Google Scholar
    • Export Citation
  • Wake, G. (2014). Making sense of and with mathematics: The interface between academic mathematics and mathematics in practice. Educational Studies in Mathematics, 86(2), 271290. https://doi.org/10.1007/s10649-014-9540-8

    • Search Google Scholar
    • Export Citation
  • Walkington, C., & Hayata, C. A. (2017). Designing learning personalized to students’ interests: Balancing rich experiences with mathematical goals. ZDM, 49(4), 519530. https://doi.org/10.1007/s11858-017-0842-z

    • Search Google Scholar
    • Export Citation
  • Walkington, C., Milton, S., Pando, M., Lipsmeyer, L., Sager, M., & Beauchamp, T. (2024, July 7–14). Adolescents using generative AI to engage in mathematical problem-posing [Paper presentation]. 15th International Congress on Mathematical Education. Sydney, NSW, Australia.

    • Search Google Scholar
    • Export Citation
  • Walkington, C., Sherman, M., & Petrosino, A. (2012). “Playing the game” of story problems: Coordinating situation-based reasoning with algebraic representation. The Journal of Mathematical Behavior, 31(2), 174195. https://doi.org/10.1016/j.jmathb.2011.12.009

    • Search Google Scholar
    • Export Citation
  • Welzel, M., & Roth, W.-M. (1998). Do interviews really assess students’ knowledge? International Journal of Science Education, 20(1), 2544. https://doi.org/10.1080/0950069980200103

    • Search Google Scholar
    • Export Citation
  • Wiland, K., Leinwand, S., Boaler, J., Burrell, G., Meyer, D., Seeley, C., Staley, J., Steele, M., Su, F., Torres, J., & Zimmerman, G. (2022, January 12). The critical need for updates 9–12 mathematics standards [Letter]. http://steveleinwand.com/wp-content/uploads/2022/01/Proposal-for-Revision-of-HS-Standards-to-NCTM-NCSM-and-ASSM-1-12-22.pdf

    • Search Google Scholar
    • Export Citation
  • Williams, J., & Wake, G. (2007). Black boxes in workplace mathematics. Educational Studies in Mathematics, 64(3), 317343. https://doi.org/10.1007/s10649-006-9039-z

    • Search Google Scholar
    • Export Citation
  • Yamada, H., Bohannon, A. X., Grunow, A., & Thorn, C. A. (2018). Assessing the effectiveness of Quantway®: A multilevel model with propensity score matching. Community College Review, 46(3), 257287. https://doi.org/10.1177/0091552118771754

    • Search Google Scholar
    • Export Citation
  • Yamada, H., & Bryk, A. S. (2016). Assessing the first two years’ effectiveness of Statway®: A multilevel model with propensity score matching. Community College Review, 44(3), 179204. https://doi.org/10.1177/0091552116643162

    • Search Google Scholar
    • Export Citation
  • Zipin, L., Sellar, S., & Hattam, R. (2012). Countering and exceeding “capital”: A “funds of knowledge” approach to re-imagining community. Discourse: Studies in the Cultural Politics of Education, 33(2), 179192. https://doi.org/10.1080/01596306.2012.666074

    • Search Google Scholar
    • Export Citation
All Time Past Year Past 30 Days
Abstract Views 832 832 355
Full Text Views 155 155 60
PDF Downloads 226 226 80
EPUB Downloads 0 0 0