I am joined in the studio by four Research Associates from the AIMS Center for Math & Science Education. Elizabeth Gamino, Everett Gaston, Brook Lewis, and Aileen Rizo discuss some of the goals of this mode of teacher behavior, and provide a few strategies for its inclusion in the teacher repertoire. If you want to understand and assess the understandings that your students possess, you have to learn to notice how they communicate them.
Joining us via Skype this week is Dr. Kristof Fenyvesi. He is a professor at Yväskyla Yliopisto (University of Yyvaskyla, Finland). He talks to us about his involvement in the Bridges Mathematics and Art movement and how art and math are connected in the mind. Kristof is a fascinating man, and was a pleasure to interview.
Dr. Richard Kriegbaum is the present President of Fresno Pacific University, and was the President in the era when “The Fresno Pacific Math Project” became “Activities Integrating Math & Science” which later became AIMS. He tells us a bit of the history, some of the present day realities and informs our future. He describes a unique partnership, one that is not found in many academic settings at all. These two organizations have a rich, and mutually beneficial, symbiosis. His hopes for the future of this relationship are made clear as well.
In this episode recorded in September but released in December, Matthew and I discuss a few of his projects, music videos, TV shows, and books. His mission is to affect as many people as he can with the joy of doing mathematics in multiple ways. His focus has been upon student representations of concepts. We end up discussing how pop-culture can be leveraged to engage students. For him, knowledge is constructed by students in the doing of mathematics. Finally we look at a couple of organizations he supports “With Math I Can” on Amazon, and “The Global Math Project” sponsored originally by the Mathematical Association of America via James Tanton.
Lesley Gates joins us on the podcast this week. She briefly describes some of the goals, purposes, and benefits of the new science standards that are in the process of being incorporated in public schools across the US. With an emphasis on the “Doing” of science rather than reading about it from books; along with developing and fostering a sense of curiosity and wonder about the natural and human-made worlds, the NGSS hope to bring science back to a more prominent role in schooling than it has been over the last few decades. Lesley describes with great passion some of her hopes for these standards.
Lori Hamada, the Executive Director of the AIMS Center for Math & Science Education, joins me in the studio this week to flesh out her recent talk on Productive Struggle. We explore a little the four different perspectives of: Teacher, Student, Administrator, and Parent when it comes to this topic. We end with some descriptions of how teachers can access tasks that enhance or provide opportunity for students to productively struggle in their classroom.
Dr. Les Steffe joins us in studio for our longest podcast yet. From his earliest days as a High School Mathematics teacher, Dr. Steffe has focused on what it means to know math. With a research career that spans six decades of consistent investigation into the mathematics of children, Dr. Steffe encourages us all to, “Listen to the student.” and through this join them in the learning process.
A man on a mission to reveal to the world that mathematics is a human endeavor, one filled with joy, discovery, and lots of passion. We explore a topic within the High School experience in algebra, quadratics, and ask, “Why do we want to teach this?” James sees this topic as a “story, a piece of poetry…” We then pursue a question of, “How does a mathematician stay interested in elementary mathematics?” A brief re-statement of Dr. Tanton’s “Fractions are a really deep and incredibly interesting.” “Do not run away from the feeling of ‘hazy thinking’.
After a description of a few demonstrations regarding the nature and behavior of water, each that have a “surprising” finish, we discuss how these sort of surprises constitute “discrepant” events. This then leads to a discussion of the “Why” do these events occur, what are the chemical and physical properties at work. We explore how discrepancies can constitute opportunities to cause “perturbation” or a space in the learner to come to a new understanding. We wander off on a minor tangent that generates, for us, a way to more fully investigate these properties. These perturbative events generate within the learner a state of “cognitive disequilibrium” which can then be capitalized upon by a guiding hand to create new knowledge within the learner. We include som […]
After stating a rather shocking statistic that indicates the overwhelming majority of five year olds enter Kindergarten “not ready” according to one assessment. Tim talks to us about how two varieties of early learning based on two professors theories on how children learn. After a failure in efforts, these professors stepped back from an effort to, “catch children up,” and began to focus on the idea that children are constantly learning. We discuss what comes out of this research, specifically two varieties of learning in children: Naming, and Observational.