Category theory is a relatively new branch of mathematics that has transformed much of pure math research. The technical advance is that category theory provides a framework in which to organize formal systems and by which to translate between them, allowing one to transfer knowledge from one field to another. But this same organizational framework also has many compelling examples outside of pure math. In this course, we will give seven sketches on real-world applications of category theory.

A teaching guide for teachers to instruct students in the gaming rules and procedures for Basic Wff'n Proof. This game teaches symbolic logic and problem solving. The content is an overview of the game of Wff'n Proof for interested coaches.

Biology is designed for multi-semester biology courses for science majors. It is grounded on an evolutionary basis and includes exciting features that highlight careers in the biological sciences and everyday applications of the concepts at hand. To meet the needs of today’s instructors and students, some content has been strategically condensed while maintaining the overall scope and coverage of traditional texts for this course. Instructors can customize the book, adapting it to the approach that works best in their classroom. Biology also includes an innovative art program that incorporates critical thinking and clicker questions to help students understand—and apply—key concepts.

By the end of this section, you will be able to:Discuss the need for a comprehensive classification systemList the different levels of the taxonomic classification systemDescribe how systematics and taxonomy relate to phylogenyDiscuss the components and purpose of a phylogenetic tree

By the end of this section, you will be able to:Discuss the concept of entropyExplain the first and second laws of thermodynamics

By the end of this section, you will be able to:Discuss the concept of entropyExplain the first and second laws of thermodynamics

This lesson focuses on comparing and ordering fractions in ways that encourage deeper understanding of’ ‘number sense’ by supporting learners to consider different techniques to order and compare fractions with different numerators and denominators. The three techniques covered in this lesson are those used to compare fractions with like numerators or denominators, unlike numerators or denominators and by comparing to a 1/2 benchmark. Emphasis are placed on the two latter techniques. Activities and practice exercises involve real-world problems including sales discounts, cooking measurements and school score reports.

In this lab, students will practice ordering from a menu. Students will also practice posing and answering questions to waiters. Finally, students will engage with the cultural aspects of eating out in a German-speaking country.

A work in progress, this FlexBook is an introduction to theoretical probability and data organization. Students learn about events, conditions, random variables, and graphs and tables that allow them to manage data.

From the Street to the Classroom

Short Description:
Have you ever wondered about why homelessness exists in Canada? This book brings together lived experience representation and the most recent research to explore homelessness in Canada, from a range of different perspectives. Readers are challenged to think about homelessness from various academic viewpoints, including the fields of Indigenous and Canadian Studies, Mental Health and Public Health Studies, Population Studies, Social Sciences, and Health Sciences. The authors pose seemingly simple questions and then, through the use of real life scenarios, embedded interview videos, artwork, and interactive activities, demonstrate how the answers are actually rather complex. "Understanding Homelessness in Canada: From the Street to the Classroom" is a must-read for Canadians everywhere.

Long Description:
Have you ever wondered about why homelessness exists in Canada? This book brings together lived experience representation and the most recent research to explore homelessness in Canada, from a range of different perspectives. Readers are challenged to think about homelessness from various academic viewpoints, including the fields of Indigenous and Canadian Studies, Mental Health and Public Health Studies, Population Studies, Social Sciences, and Health Sciences. The authors pose seemingly simple questions and then, through the use of real life scenarios, embedded interview videos, artwork, and interactive activities, demonstrate how the answers are actually rather complex. “Understanding Homelessness in Canada: From the Street to the Classroom” is a must-read for Canadians everywhere.

Word Count: 238078

(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)