## Mytologica Mathematics Programs

**Foundational Math**

Mytologica's Foundation Math programs are built around research established principles. Work by Boaler, Chen, Williams and Montserat (2016) highlight the importance of an instructional approach to Mathematics that emphasises visualisation over memorisation. The Big Ideas in Mathematics programs are founded on the primacy of visual presentation of mathematical ideas. Within this context of 'beautiful Mathematics', we seek to develop students' capacities in number sense, pattern seeking, algebraic thinking and generalising. This is achieved through mathematical work that is co-operative, hands-on and fun!

Big Ideas in Mathematics - Pineapple

This thirty-six week (4x9 weeks, 60 minute sessions) program covers key concepts at the Year 4-5 level of Mathematics. Conceptual priorities at this level include measurement, shapes and angles, decimals, unit fractions, number fractions and multiplicative thinking. These concepts are explored through an instructional cycle of visualisation, play and investigation.

Enrolments in this program are capped at a maximum of 8 students.

Big Ideas in Mathematics - Mango

This thirty-six week (4x9 weeks, 60 minute sessions) program covers key concepts at the Year 5-6 level of Mathematics. Conceptual priorities at this level include the properties of arithmetic operators, fraction equivalence and operations, place value, pattern, dimensions and location. These concepts are explored through an instructional cycle of visualisation, play and investigation.

Enrolments in this program are capped at a maximum of 8 students.

**Geometric Construction Short Courses**

These five week (5x60 minute sessions) short courses cover emergent ideas in spatial and geometric reasoning. Students work with the Zometool geometric construction environment to build physical models of shapes and solids.

Enrolments in these programs are capped at maximum of 8 students.

**Transition to High School Math (T2HM)**

The Transition to High School Math (T2HM) is a two year (4x20 weeks, 90 minute sessions) program that supports students transition to high school Mathematics. Unfortunately, many students experience success in foundational Mathematics, relying exclusively on their capacity to memorise mathematical facts and basic algorithms. Often, these students enter secondary Mathematics programs with relatively underdeveloped conceptual understanding and generalisation strategies. This leads to a rapid decline in their mathematical self-efficacy and confidence, leading to high rates of disengagement in higher levels of mathematical studies.

Within this context, the T2HM program seeks to deepen students' conceptual understanding of key secondary Mathematics concepts and working skills through a carefully sequenced series of activities, focused on a key, central problem. The first two units - Patterns and Pig - are suitable for students in Years 6&7, while units three and four are targeted at students in Years 7&8.

Enrolments in these programs are capped at a maximum of 8 students.

T2HM Patterns

T2HM Patterns is a twenty week (90 minutes per session) unit that focuses on developing student's understanding of function. Functions are introduced using numeric and non-numeric examples, with an emphasis on looking for patterns and describing those patterns visually. Students use variables and algebraic expressions to describe numeric functions. They also apply In-Out tables to mathematical problems and see the distinction between tables arising from context and tables that are simply collections of number pairs.

T2HM Pig

T2HM Pig is a twenty week (90 minutes per session) unit that focuses on developing students' understanding of probability and strategic thinking. These ideas are explored within the context of a central problem: developing an optimal strategy for winning a dice game called Pig. In this sequence, students explore mathematical ideas relating to strategy, probability as fractions, decimals, and percentages, tree diagrams, area models, independent events, conditional probability and sample size.

T2HM Equations

T2HM Equation is a twenty week (90 minutes per session) unit that focuses on developing students' understanding of function by looking at the equivalence of graphical, tabular, symbolic and situational representations. These ideas are explored within the context of a central scenario: the early migration of frontier settlers. In this sequence, students explore mathematical ideas relating to constraints and decision making, algorithms, variables and notation, graphing, linear equations, graphs and situations, and the use of mathematical technology.

T2HM Shadows

T2HM Shadows is a twenty week (90 minutes per session) unit that focuses on applying students' developing facility with patterns, functions and algebra to bear on the question - "How long is a shadow?" In doing this, they explore important ideas in geometry and trigonometry and are introduced to the geographical achievements of Eratosthenes. In this sequence, students explore mathematical ideas relating to similarity and congruence, proportional reasoning, polygons, angles, deductive logic and proof by counterexample.