danaleeling

SC 130 Physical Science has centered on performing experiments with physical systems that obey mathematical relationships. Mathematics has been at the core and center of the course. The board from yesterday was still up which shifted the focus from whether mathematics should be taught abstractly or in a specific contexts to a focus on what does it mean to be mathematically literate in a mathematical universe? During the term the students repeatedly demonstrated a complete loss of algebraic knowledge, although all had completed either MS 100 College Algebra and some had completed MS 101 Algebra and Trigonometry. Given this, how can a student prove that they "know" mathematics? What does "mathematical literacy mean?" What does it mean to "understand" mathematics? To be able to do mathematics? How can or should student demonstrate mathematical knowledge in this age of AI? Where copy and paste results in solutions? How shoul...

In a data exploration involving hoop rotation period versus diameter Google Sheets does not always produce the desired scatter graph. The issue appears to small sample size or short columns.  Spreadsheet Selecting a scatter chart for this data results in the following chart for some students:   Note the monotonic spacing on the x-axis. Google Sheets has defaulted to a form of line graph with monotonic spacing on the horizontal axis. To reunite the paired data, select Use column A as label under edit chart on a laptop or desktop computer.  Note that this option is not accessible from the Google Sheets mobile app. Of note is that while working inside the Google Sheet chart module in the mobile app the chart appears to configure as expected. Once one exits the chart module, the columns split into two data sets. There is no known easy fix on mobile. The repair essentially requires getting onto a laptop or desktop.  There are hackarounds. One is to manually type the data ...

This summer term the hoop rotation laboratory was made less specific, less prescriptive of what had to be measured. In the past the laboratory was guided by the following directions and questions: In this laboratory you explored the relationship between a hula hoop diameter in centimeters and the natural rotation period for the hula hoop in seconds.  What is the nature of the mathematical relationship between the hoop diameter and hoop period? Is the relationship linear or nonlinear? What is the equation that relates hoop diameter to the hoop period? Do hoops with larger diameters have longer periods? This summer the intent was to leave the decisions on what to measure to the students. The concept was to make the laboratory more of a practical test of the students' ability to explore an unknown system. To remove some of the scaffolding and framework. This summer the directions were: If the universe is mathematical, then every physical system is obeying mathematical equa...

This term the need for limes and flowers only landed after the Ohm's law laboratory. Students were never told to bring flowers. The collapse in attendance at the end of Ohm's law left no opportunity to prep students. Limes were located and the ground orchids had come in heavy this season. Early morning load up was done because the intervening laboratory is in use at 11:30. Preloading water is also necessary. The layout was altered to reflect the loss of part one and the practical elimination of part two. There was only Spathoglottis plicata.  Soap and Zonrox replacement bleach were obtained at A1 during the morning set up. Daniel was out on the sidewalk Electrons were were in place for the morning lecture. This is day with many moving parts. Hydrogen introduction was already erased at this point. A one hour high speed crash and dash to hydrogen ions and hydroxide ions. At one hour th...