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The European Union's Key Competences framework provides a short and clear definition of mathematical competence that we can strive toward as teachers: the ability to develop and apply mathematical thinking in order to solve a range of problems in everyday situations, with the emphasis being placed on process, activity and knowledge.

To achieve this we will look at four themes throughout the course (real-world application, creativity, collaboration, ICT) which should help develop mathematical thinking (and other crucial skills) in your students and allow them to apply such thinking in the real world around them.

Five important principles to consider for your innovative Maths teaching.
1.Start with a question
2.Students need time to struggle (think, work )
3. You are not the answer key
4. Say yes to your students ideas
5. Playful learning, exploring and breaking the rules

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1.3 Personalising learning in your Maths classroom

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1.3 Personalising learning in your Maths classroom

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https://ww2.kqed.org/mindshift/2016/08/02/how-to-make-math-more-emotionally-engaging-for-students/

https://www.learner.org/

Games
edutopia.org
instituteofplay.org
mangahigh

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Our Learning Objectives for this module are:

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Our Learning Objectives for this module are:

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1. Understanding how project-based learning can help make Maths more meaningful and result in deep learning in a Maths context

2. Understanding how the normally mundane activities found in textbooks can be made more "real" and engaging to the students

3. Identifying a PBL problem or challenge that can result in Maths learning

4. Sharing a textbook activity and explaining how it could be made more "real" and engaging for students

5. Identifying and sharing a picture of the students' surroundings that could be used in the classroom to introduce a Maths topic

6. Incorporating some key reflections and resources in the Learning Diary

7. Continuing to work on the Learning Design by adding some activities

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2.1 Applying Maths skills to a real-world problem

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2.1 Applying Maths skills to a real-world problem

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There are many different ways you can bring the real world into your Maths classroom. We will start with the most challenging one, but at the same time the richest and the most rewarding: project-based learning. For an illuminating take on this concept, you can check out the Edutopia article PBL and STEAM Education: A Natural Fit, which makes the case that "using project-based learning in science, technology, engineering, art, and math classes is a way to solve problems in real-world contexts."

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2.2 Textbook-type problems in the real world

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2.2 Textbook-type problems in the real world

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An even simpler means of bringing the real world into your Maths classroom is simply showing your students that they are surrounded by Maths every day. This is a nice way to engage students and to pique their curiosity, and accordingly it is a great way to start a lesson. For instance, Math in the Real World uses a mathematical backdrop to teach students personal finance and economic concepts, presenting the subject from a more practical angle.

Examples

patterns

symmetry

measurement

time

estimation

money

geometry

fractions, decimals and percentage

probability

problem solving

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Part of bringing the real world into the Maths classroom is showing how important Maths is for students' future careers and establishing links to a range of professions which use Maths on a regular basis. And given the huge shortage of professionals with STEM (Science, Technology, Engineering, Maths) qualifications in Europe, we should always think about how our teaching can motivate students to continue studying Maths and pursuing a Maths-related career.

Make sure to browse the Experiencing Mathematics website where you'll find plenty of example activities and problems to use in a range of mathematical areas. For each area there are guidelines on which professions would come across these types of Maths problems, as well as some suggestions for finding more resources

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There are plenty of resources and tools out there that can help you bring the real world into your Maths classroom. Take a look:

Tasks such as treasure hunts can combine Google Maps, Geometry and information about the environment. Here is an article about how to use Google Maps in Maths classrooms and some great inspiration can also be found on Real World Math, a site that offers ideas and resources for using Google Earth in the Maths curriculum.

Yummy Maths is another site that aims “to provide teachers with an easy way to bring real life into their math classrooms” according to the idea that “when math is explored in contexts that are familiar and of interest to students, they will be more engaged to do math, reason, think critically, question and communicate.”

Maths can also be connected with sports, news, fashion, music or even space travel (see next point).

NASA offers a wide array of Maths-related activities on its site (http://www.nasa.gov/) and here you'll find some NASA videos about real-world use of Maths.

You can also take a look at the Algebra in the Real World Movies for more ideas!

In this blog post the author describes a useful tool for helping students to model and work through the problems for addition, multiplication, fractions, and ratios and see how algebraic reasoning works, by using interactive templates made of coloured blocks. Students are also given feedback about using the correct sequence for solving the problems. The tool is suitable for use on interactive whiteboards, as well.

Living Maths books offers a list of books that present real-life concepts in a relevant context, and reinforces Maths skills.

Last but not least, help your students experience Mathematics, make hypotheses and trials, validate and demonstrate in a virtual exhibition you can find here.