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Full-Text Articles in Education
Parts Of The Whole: Teaching Quantitative Reasoning In The Predator-Prey Model, Dorothy Wallace
Parts Of The Whole: Teaching Quantitative Reasoning In The Predator-Prey Model, Dorothy Wallace
Numeracy
The classical predator-prey equations are in nearly every differential equations text and mathematical biology text. Usually they are presented fait accompli, leaving the student to analyze them or play with a computer program. Here we show that the process of fully understanding where these equations come from and how they are derived provides numerous opportunities to teach or reinforce quantitative reasoning skills necessary to future scientists. This example is used to invoke logic, systems thinking, causal reasoning, understanding functions of one or more variables, quantities versus rates of change, proportional reasoning, unit analysis, and comparison to data.
Using Think-Aloud Protocols To Uncover Misconceptions And Improve Developmental Math Instruction: An Exploratory Study, Charles Secolsky, Thomas P. Judd, Eric Magaram, Stephen H. Levy, Bruce Kossar, George Reese
Using Think-Aloud Protocols To Uncover Misconceptions And Improve Developmental Math Instruction: An Exploratory Study, Charles Secolsky, Thomas P. Judd, Eric Magaram, Stephen H. Levy, Bruce Kossar, George Reese
Numeracy
Deficiencies in education continue to escalate around the world. The focus on outcomes assessment has narrowed instructional research and curriculum evaluation to standardized testing in certain subject areas. A prototype for a quantitative literacy assessment instrument was developed with the goal of diagnosing student misconceptions of basic mathematics content and changing instructional practices to undo the misconceptions by applying cognitive psychological theory. Two hundred thirty-eight basic math high school students and 209 remedial community college students in New Jersey and New York were administered the instrument, which had been based on coded data from think-aloud protocols. The instrument asked students …