The m in STEM

Warm up You have won a prize. What would you choose? One square metre of 5 cent coins (the coins fill the square metre, and are lying flat, touching) A one litre milk carton (70 mm x 70 mm x 200 mm) filled with 20 cent coins One Kilogram of $1 coins A one metre long line of $2 coins (lying flat and touching)

You have won a prize. What would you choose? One square metre of 5 cent coins (the coins fill the square metre, and are lying flat, touching) A one litre milk carton (70 mm x 70 mm x 200 mm) filled with 20 cent coins One Kilogram of $1 coins A one metre long line of $2 coins (lying flat and touching)

Coin Diameter Thickness Mass

One square metre of 5 cent coins 1000 ÷ 19.41 = 51; 51 x 51= 2601; 2601 x 0.05 = $130.05 One litre milk carton (70 mm x 70 mm x 200 mm) with 20 cent coins 200 ÷ 28.65 = 7; 70 ÷ 28.65 = 2; 70 ÷ 2.5 = 28; 28 x 14 = 392; 392 x 0.20 = $78.40 One kg of $1 coins 1000 ÷ 9 = 111; 111 x 1 = $111 A one metre long line of $2 coins 1000 ÷ 20.5 = 48; 48 x 2 = $96

STEM National Education Council http://www.educationcouncil.edu.au/site/DefaultSite/filesystem/documents/Nation al%20STEM%20School%20Education%20Strategy.pdf

PBL and stem Everyone naturally engages in problem solving. We all use the tools and materials available to us to adapt the environment to meet our needs. The ability to solve problems comes naturally to most. The project approach to STEM, or “learning by doing,” is grounded in constructivist theory (Fortus, Krajcikb, Dershimerb, Marx, & Mamlok-Naamand, 2005) that is shown to improve student achievement in higher- level cognitive tasks, such as scientific processes and mathematic problem solving (Satchwell & Loepp, 2002).

What is problem-based learning (PBL)? Problem-based learning teaches a problem-solving model employing a cycle of problem analysis, independent research, brainstorming solutions, and testing solutions. PBL Cycle

PBL stem Link PBL STEM link https://21centuryedtech.wordpress.com/2011/10/06/connecting-pbl-and-stem-40- free-engaging-resources-to-use-in-the-classroom/

Reflection The purpose of the first stage is to ground the student in the problem’s context and to provide inspiration for things the student can immediately begin to investigate (Fortus, Krajcikb, Dershimerb, Marx, & Mamlok-Naamand, 2005).   Research Much learning happens during this stage, in which students progress from concrete to abstract understanding of the problem (Diaz & King, 2007). During the research phase teachers often lead discussions to determine whether students are developing appropriate conceptual understanding of the project and its relevant concepts (Satchwell & Loepp, 2002). Discovery The discovery stage generally involves bridging the research and information that is known with the project’s requirements. This step is when students begin to take ownership of the learning process and determine what is still unknown (Satchwell & Loepp, 2002). Application In the application stage the goal is to model a solution that sufficiently solves the problem. In some cases, students test the model against requirements, the results of which direct the students to repeat a previous step (Diaz & King, 2007). Communication The final stage in any project is presenting the model and solution to peers and community. This is a critical step in the learning process because of the desire to develop both communication and collaboration skills and the ability to accept and implement constructive feedback (Diaz & King, 2007).

Working mathematically Math 300 article maybe more than one slide

Mindset

Lets get our hands dirty It’s all about making maths real. Practical real life problems using mathematical skills and theories Are our students leaving school with the mathematical skills to solve problems in the workforce or do they just have the skills to pass an exam. We can do both!

Rio tinto Rio Tinto http://www.smart.riotinto.com/australia/maths.php

Prime and STEm How big is the package?

Thick as a brick

Prompt 1 If half a brick weighs 10kg. How much does a brick weigh Prompt 1 If half a brick weighs 10kg. How much does a brick weigh? Extension Half a brick weighs 750g plus one third of a brick. How much does a brick weigh?

One hectare park

Prompt one A garden in the shape of a rectangle has an area of 36 m² Prompt one A garden in the shape of a rectangle has an area of 36 m². What might the perimeter be?

aquarium You have been asked to design an aquarium in the shape of a rectangular prism for the school visitor's lounge. Because of the type of fish being purchased the pet store recommends that the aquarium should hold 600 liters of water. Find as many different dimensions for the aquarium as possible. Then decide which aquarium you would recommend for the lounge and explain why you made that choice.