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In Chapter 3 of this book, the author does a great job explaining that these are completely different thinking processes.
This makes it a good topic for a discussion with your tutor as creative and critical thinking are likely to be important throughout your studies.
Demonstrating creative and critical thinking is likely to be especially important when producing longer assignments such as dissertations, projects and theses.
Your academic tutors can provide a variety of models for demonstrating how to put creative thinking into practice, and how they will encourage your intellectual curiosity.
Tutors will use questions to clarify and establish the facts; they will test assumptions and challenge viewpoints; and they will seek evidence to back-up any position or argument.
For good mathematical problems go to the nrich website.
For more extended mathematical investigations and a wonderful array of rich tasks, my favourite resource is Maths300 (this is subscription based, but well worth the money). There are lots of reasons that teachers should be engaged with critical and creative thinking.However, it is important to note that terms such as 'critical thinking' do have different meanings in different academic disciplines.Always check with your own School's guidance for clarification and advice on how best to demonstrate critical thinking in your subject area.We need to be reflective practitioners who constantly evaluate our work, questioning curriculum and practice, including assessment, student grouping, the use of technology, and our beliefs of how children best learn mathematics.Critical and creative thinking is something we cannot ignore if we want our students to be prepared for a workforce and world that is constantly changing.However, the term ‘critical numeracy’ implies much more.One of the most basic reasons for learning mathematics is to be able to apply mathematical skills and knowledge to solve both simple and complex problems, and, more than just allowing us to navigate our lives through a mathematical lens, being numerate allows us to make our world a better place. The Australian Curriculum (ACARA, 2017), requires teachers to address four proficiencies: Problem Solving, Reasoning, Fluency, and Understanding.I just started reading “Think Better: An Innovator’s Guide to Productive Thinking” by Tim Hurson.I just started Chapter 3 and have become amazed that I hadn’t thought about the difference between Critical Thinking and Creative Thinking…though I’ve blogged about the subject in the past (see The Problem(s) with Linear Thinking, Critical Thinking Definitions, and my review of Jack’s Notebook).There are many tools and many methods of promoting thinking.Using a range of problem solving activities is a good place to start, but you might want to also use some shorter activities and some extended activities.