Skip to main content

Mathematical Literacy and Critical Thinking

  • Chapter
  • First Online:
Teaching College-Level Disciplinary Literacy
  • 368 Accesses

Abstract

The development of mathematical literacy enables students to become skilled critical thinkers and problem-solvers who have a better understanding of the world they live in. However, very often students are unable to understand the mathematical principles and apply them to real-life situations. In many college mathematics classrooms, the lessons focus only on abstract concepts and routine exercises. Mathematics teachers need to transform the way they present and deliver the concepts, which should be contextualized in real-life applications, in order to motivate the students and enable them to acquire the necessary skills to understand and utilize the mathematical language. Reading is essential to access the mathematical language, but many beginning college students lack the literacy skills to navigate the abstract concepts to acquire a deeper understanding of how mathematics works. Reading in mathematics involves not just literal and linear comprehension; the process requires a broad range of thinking and reasoning skills. In each stage of the reading process, students need to engage themselves in understanding words, symbols, and concepts; analyze problems; and apply content knowledge and mathematical models to solve problems.

Since the application of the math content requires both general and specialized vocabulary knowledge, student success in math courses requires the mastery of general and discipline-specific literacy skills. The lack of these skills generates obstacles for students to learn math effectively. This chapter discusses the development of observation, generating questions, communication, listening skills, implementation of vocabulary strategies, metacognitive skills, cooperative learning, and emotional intelligence to develop students’ disciplinary literacy. These skills are fundamental to acquire a solid critical thinking process.

…Socrates: And it won’t be as a result of any teaching that he’ll have become knowledgeable: he’ll just have been asked questions, and he’ll recover the knowledge by himself, from within himself.

—Meno dialogue by Plato

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • Anderson, L. W., & Krathwohl, D. R. (2001). A taxonomy for learning, teaching, and assessing (Abridged ed.). Boston, MA: Allyn and Bacon.

    Google Scholar 

  • Anthony, G., & Walshaw, M. (2009). Effective pedagogy in mathematics (Vol. 19). Belley, France: International Academy of Education.

    Google Scholar 

  • Bean, T. W., & Stevens, L. P. (2002). Scaffolding reflection for preservice and inservice teachers. Reflective Practice, 3(2), 205–218.

    Article  Google Scholar 

  • Bloom, B. S. (1956). Taxonomy of educational objectives, handbook I: The cognitive domain. New York: David McKay Co.

    Google Scholar 

  • Carnevale, A. P., & Smith, N. (2013). Workplace basics: The skills employees need and employers want. Taylor & Francis.

    Google Scholar 

  • CCMIT. (n.d.). Improving observation skills. Retrieved from https://ccmit.mit.edu/observation/

  • Center for Biological Diversity. (n.d.). 10 facts about single-use plastic bags. Retrieved from https://www.biologicaldiversity.org/programs/population_and_sustainability/sustainability/plastic_bag_facts.html

  • Chin, C., & Osborne, J. (2008). Students’ questions: A potential resource for teaching and learning science. Studies in Science Education, 44(1), 1–39.

    Article  Google Scholar 

  • Communication in the real world: An introduction to communication. (2016). University of Minnesota Library Publishing. Retrieved from https://open.umn.edu/opentextbooks/textbooks/communication-in-the-real-world-an-introduction-to-communication-studies

  • Flavell, J. H. (1976). Metacognitive aspects of problem solving. In The nature of intelligence (pp. 231–235). Hillsdale, NJ: Lawrence Erlbaum.

    Google Scholar 

  • Jaines, K. (2018)..Effects of carbon footprint. Retrieved from https://sciencing.com/effects-of-carbon-footprint-4984464.html

  • Jones, R. (2013). Communication in the real world: An introduction to communication studies. The Saylor Foundation.

    Google Scholar 

  • Klerlein, K., & Hervey, S. (2019). Mathematics as a complex problem-solving activity. Retrieved from https://www.generationready.com/mathematics-as-a-complex-problem-solving-activity/

  • Lawrence, A. S., & Deepa, T. (2013). Emotional intelligence and academic achievement of high school students in Kanyakumari District. Online Submission, 3(2), 101–107.

    Google Scholar 

  • Lee, K., & Hateshol, D. (1993). Listening: Our most used communications skill. Retrieved from https://extension2.missouri.edu/cm150

  • Lester, F. K. (1982). Building bridges between psychological and mathematics education research on problem solving. In Mathematical problem solving (pp. 55–85). Philadelphia, PA. The Franklin Institute Press.

    Google Scholar 

  • McComas, W. F., & Abraham, L. (2004). Asking more effective questions. Rossier School of Education, 1–16.

    Google Scholar 

  • Montessori, M., & Holmes, H. W. (1912). The Montessori method: Scientific pedagogy as applied to child education in “the children’s houses”. New York: Frederick A. Stokes Company.

    Google Scholar 

  • OECD. (2016). PISA 2015 results (Volume I): Excellence and equity in education.

    Google Scholar 

  • PĂłlya, G. (1963). Induction and analogy in mathematics. Princeton, NJ: Princeton University Press.

    Google Scholar 

  • Renaud, R. D., & Murray, H. G. (2007). The validity of higher-order questions as a process indicator of educational quality. Research in Higher Education, 48(3), 319–351.

    Article  Google Scholar 

  • Reynolds, S. D. S., & Dubinsky, E. (1995). A practical guide to cooperative learning in collegiate mathematics. Mathematical Association of America (MAA).

    Google Scholar 

  • Ridge, A. (1993). A perspective of listening skills. In Perspectives on listening (pp. 1–14). Norwood, NJ: Ablex Publishing.

    Google Scholar 

  • Rowe, M. B. (1974). Wait-time and rewards as instructional variables, their influence on language, logic, and fate control: Part one-wait-time. Journal of Research in Science Teaching, 11(2), 81–94.

    Article  Google Scholar 

  • Sammons, L. (2011). Building mathematical comprehension: Using literacy strategies to make meaning (Teacher created materials). Huntington Beach, CA: Shell Education.

    Google Scholar 

  • Schneider, W., & Artelt, C. (2010). Metacognition and mathematics education. ZDM, 42(2), 149–161.

    Article  Google Scholar 

  • Silver, E. A. (1982). Knowledge organization and mathematical problem solving. In Mathematical problem solving: Issues in research (pp. 15–25). Philadelphia, PA. The Franklin Institute Press.

    Google Scholar 

  • Stahl, R. J. (1994). Using “think-time” and “wait-time” skillfully in the classroom. ERIC Clearinghouse.

    Google Scholar 

  • Union of Concerned Scientists. (2019). Each country’s share of CO2 emissions. Retrieved from https://www.ucsusa.org/resources/each-countrys-share-co2-emissions

  • Verschaffel, L., De Corte, E., Lasure, S., Van Vaerenbergh, G., Bogaerts, H., & Ratinckx, E. (1999). Learning to solve mathematical application problems: A design experiment with fifth graders. Mathematical Thinking and Learning, 1(3), 195–229.

    Article  Google Scholar 

  • Wilt, M. E. (1950). A study of teacher awareness of listening as a factor in elementary education. The Journal of Educational Research, 43(8), 626–636.

    Article  Google Scholar 

  • World Wildlife Fund. (n.d.). Deforestation and forest degradation. Retrieved from https://www.worldwildlife.org/threats/deforestation-and-forest-degradation

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Estela Rojas .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 The Author(s)

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Rojas, E., Benakli, N. (2020). Mathematical Literacy and Critical Thinking. In: But, J. (eds) Teaching College-Level Disciplinary Literacy. Palgrave Macmillan, Cham. https://doi.org/10.1007/978-3-030-39804-0_8

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-39804-0_8

  • Published:

  • Publisher Name: Palgrave Macmillan, Cham

  • Print ISBN: 978-3-030-39803-3

  • Online ISBN: 978-3-030-39804-0

  • eBook Packages: EducationEducation (R0)

Publish with us

Policies and ethics