# Learning Through Inquiry

##### Key Concept

Key concepts represent big ideas that are relevant both within and across disciplines and subjects. Inquiry into key concepts can facilitate connections between and among courses within the mathematics subject group (intra-disciplinary learning) and other subject groups (interdisciplinary learning).

• Form
Form is the shape and underlying structure of an entity or piece of work, including its organization, essential nature and external appearance.

MYP mathematics: Form refers to the understanding that the underlying structure and shape of an entity is distinguished by its properties. Form provides opportunities for students to appreciate the aesthetic nature of the constructs used in a discipline.

• Logic
Logic is a method of reasoning and a system of principles used to build arguments and reach conclusions.

MYP mathematics: Logic is used as a process in making decisions about numbers, shapes, and variables. This system of reasoning provides students with a method for explaining the validity of their conclusions. Within the MYP, this should not be confused with the subfield of mathematics called “symbolic logic”.

• Relationship
Relationships allow students to identify and understand connections and associations between properties, objects, people and ideas—including the human community’s connections with the world in which we live. Any change in relationships brings consequences—some of which may occur on a small scale, while others may be far-reaching, affecting large systems like human societies and the planet as a whole.

MYP mathematics: Relationships refer to the connections between quantities, properties or concepts and these connections may be expressed as models, rules or statements. Relationships provide opportunities for students to explore patterns in the world around them. Connections between the student and mathematics in the real world are important in developing deeper understanding.

##### Related Concept

Related concepts promote deep learning. They are grounded in specific disciplines and are useful for exploring key concepts in greater detail. Inquiry into related concepts helps students develop more complex and sophisticated conceptual understanding.

Related Concepts in Mathematics
Change Equivalence Generalization
Justification Measurement Model
Pattern Quantity Representation
Simplification Space System

##### Global Context

Global contexts direct learning towards independent and shared inquiry into our common humanity and shared guardianship of the planet. Using the world as the broadest context for learning, MYP mathematics can develop meaningful explorations of:

•  identities and relationships
•  orientation in space and time
•  personal and cultural expression
•  scientific and technical innovation
•  globalization and sustainability
•  fairness and development

##### Statement of Inquiry

Statements of inquiry set conceptual understanding in a global context in order to frame classroom inquiry and direct purposeful learning.

##### Approaches to Learning

All MYP units of work offer opportunities for students to develop and practise approaches to learning (ATL) skills. ATL skills provide valuable support for students working to meet the subject group’s aims and objectives.

ATL skills are grouped into five categories that span the IB continuum of international education. IB programmes identify discrete skills in each category that can be introduced, practised and consolidated in the classroom and beyond.

Category Skill Indicator
Thinking skills Use prioritization and order of precedence in problem-solving
Social skills Help others to create success for themselves during group work
Communication skills Organize and interpret data using both analogue and digital tools
Self-management skills Practise focus and concentration while solving multiple problems
Research skills Use a variety of technologies and media platforms, including social media and online networks, to source information