Assessment is more than a test at the end of a unit to gauge learning; it is an integral component of classroom instruction (National Council of Teachers of Mathematics, 2013). Not only does assessment provide information needed to adjust teaching and learning as they are happening, but it becomes a fundamental part of mathematics instruction, done for students instead of to students. However, it is important to consider that some students can produce correct answers on a test item but may not understand the solution or question behind it (Garfield, 1994). Therefore, classroom assessments should follow multiple approaches allowing students to showcase his or her strengths while focusing on how students think about mathematics.
According to Marilyn Burns, mathematics teachers gain a wealth of information by investigating the thinking behind students’ answers, not just when they are wrong but when they are correct (2005). One way to investigate the thinking behind students’ answers is by journal writing. Keeping a journal helps students to think about problem solving in a meaningful context while giving insights into their learning (Barlow & Drake, 2008). Open-ended journal writing enables students to analyze, synthesize, and evaluate the lesson thereby growing in mathematical achievement! Through writing prompts or open-ended questions, math journals can
- Stretch students thinking.
- Help make sense of problems.
- Express feelings and thoughts about mathematics.
- Reveal conceptual understanding.
- Personalize learning, and
- Evaluate progress and recognize strengths.
- Post solutions to problems.
- Post mathematical insights.
- Post questions.
- Interact with peers and teachers through online discussions.
- Embellish online entries with sounds, video, and graphics, creating potential for project-based learning, and
- Nurture higher order thinking skills
Resources to Get You Started
Writing in Mathematics Drake, J.M., & Barlow, A.T. (2008). Assessing students’ levels of understanding multiplication through problem writing. Teaching Children Mathematics, 14(5), 272-277.
Kawas, T. (2010). Writing in Mathematics. Retrieved June 24, 2013 from http://mathwire.com/writing/writing1.html
Blogging in Mathematics Tubbs, J. (2007). Blogs in the Mathematics classroom. Retrieved June 24, 2013 fromhttp://futureofmath.misterteacher.com/blogs2.html
Pyon, S.M. (2008). Why math blogs. Teaching Children Mathematics, 14(6), 331-335.
References
Barlow, A.T., & Drake, J.M. (2008). Assessing understanding through problem writing. Mathematics Teaching in the Middle School, 13(6), 326-332.
Burns, M. (2005). Looking at how students reason. Educational Leadership, 63(3), 26-31.
Garfield J. (1994). Beyond testing and grading: Using assessment to improve student learning. Journal of Statistics Education, 2(1). Retrieved June 24, 2013 from http://www.amstat.org/publications/jse/v2n1/garfield.html.
National Council of Teachers of Mathematics (2013). The assessment principle. Retrieved June 24, 2013 from http://www.nctm.org/standards/content.aspx?id=26803
National Council of Teachers of Mathematics (2008). The role of technology in the teaching and learning of mathematics. Retrieved June 24, 2013 from http://www.nctm.org/about/content.aspx?id=14233.
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