For this problem we are looking for students to form a rule, part of the early algebra curriculum.
My second presumption is that mathematical knowledge and skill gained as children grow older allows them to think creatively and critically.
Third, I don’t buy the typical (and somewhat ill-defined) notion that creativity and critical thinking are only typical of “higher order thinkers.” It depressed me to no end when I did my literature review on these two topics and found that much of the work on these two types of thinking were done with gifted learners.
” This involves justifying and hence critical thinking. involves students learning to recognise or develop an argument.” (ACARA). Justify For these examples students should be encouraged to use multiple methods to prove and disprove these claims.
In mathematics students use logical argument when they are encouraged to test conjectures and justify. ” and “Convince me” encourage student to verify or refute that is, prove or disprove conjectures.“Is it true? They can use estimation, diagrams, materials as well as mental strategies to prove or disprove to provide a logical argument.
Generalising involves identifying common properties or patterns across more than one case and communicating a rule (conjecture) to describe the common property, pattern or relationship.
In order to generalise students need to first analyse the problem to notice things that are the same or different, notice things that stay the same and things that change, or order examples to notice patterns.
If you have access to a journal via a society or association membership, please browse to your society journal, select an article to view, and follow the instructions in this box.
Contact us if you experience any difficulty logging in.
Most primary teachers think of problem solving, one of the four mathematics proficiencies where children inquire into real world problems or solve open tasks.
However mathematical reasoning, the fourth proficiency in the mathematics curriculum, is often overlooked by primary teachers but fits very neatly with creative and critical thinking.