Metacognitive Journaling in Math
Reflecting on learning is an important part of PBL for students.
Find out more about journaling
We as a community need to grapple with the question of what is most important to understand and how what we as humans are capable of will be more than what an AI can “understand” for us. Creating a holistic view of teaching mathematics means to dive into the new world of AI and look at the understanding and skills students see as “mathematics” while at the same time considering the new possibilities of what math can be.
I have received some great inquiries since I wrote my last blogpost and I’ve spoken to many teachers who have ideas and questions about teaching online with PBL math. I thought I would share some of those ideas so that everyone can benefit from these great thoughts. Collaboration One of the aspects of the PBL […]
About three years ago, I was invited to the great challenge of finding a way to teach Problem-Based Math online with a great school named Avenues: The World School, whose online school is called Avenues Online (AON). Little did I know then that COVID-19 would come in 2020 and the idea of online learning would […]
“A self-compassionate attitude could help us feel comforted when we witness the fallibility of other humans.” Newman, 9/4/19 Greater Good Magazine This is the conclusion of a research study that was done by researchers at the University of Waterloo, when they asked 100 recruited students to record a video about themselves to be rated on […]
Assessment in PBL – CwiC Session Framework for PBL ClassroomStudent Self-AssessmentStudent Analysis of Contribution BehaviorsRubric for Class ContributionRubric for Feedback before GradesJournal Writing RubricKeeping a Journal for Math ClassAvenues World Elements WebsiteRubric for Grading Mathematics Work for Avenues World Elements Links to Blogposts about Assessment:Why Teachers Don’t Give Feedback instead of Grades, and Why We […]
I’ve always considered myself a rational person. I mean, I majored in math and then went on to get a masters in pure math. I really always loved the logic and thought that went into proof and how I could think rationally about so many things in life. Even when life threw me curve balls, […]
This post is part of the Virtual Conference on Mathematical Flavors, and is part of a group thinking about different cultures within mathematics, and how those relate to teaching. Our group draws its initial inspiration from writing by mathematicians that describe different camps and cultures — from problem solvers and theorists, musicians and artists, explorers, […]
When I was in elementary school, I was lucky enough to have a teacher named Mrs. Bayles who believed that what it meant to be “cool” was enjoy solving really interesting problems. I remember one time she gave everyone in class a piece of pie and asked us all “What’s the best way to start […]
Teaching Circle Concepts with PBL
In a traditional Geometry text, there is a chapter on circles – usually around 8 or 9 – right? Where they introduce a definition, the equation in a big blue box and students learn how to write equations, find the area, circumference and do some interesting problems negative space if they are lucky. The question […]