Physical Sciences and Mathematics Commons^™

Mastery Based Grading For Secondary Mathematics, Anderson Trimm

Professional Learning Day

Dr. Trimm will discuss in detail his design and implementation of a mastery grading system in calculus at IMSA and how it offers many benefits over traditional grading. Dr. Trimm will also explain how it makes creating assessments and grading easier and less work for the teacher, while being more accurate.

Can You Master This? : Initial Attempts At Specifications-Based Grading In Introductory Chemistry, Laura Kopff

Faculty Publications & Research

The Illinois Mathematics and Science Academy (IMSA) requires all incoming students to complete a one-semester introductory chemistry course in their sophomore year – Scientific Inquiries in Chemistry (SI-Chem). This course has historically been taught using a traditional grading/assessment model, however, in the Spring of 2021, a switch was made to a specification-based grading system. One motivating factor in this decision is an institutional shift to an equity-focused grading approach, and an analysis of our historical assessment model indicated areas for improvement.

Our initial foray into specifications grading was during the Spring of 2021 semester, when all of our courses were …

Tech & Toys To Teach Linear Algebra, Kelly W. Remijan

Publications & Research

6th - 12 Grade Math teachers will Discover activities involving tech and/or toys:

1. CNC Machines- graphing points & line segments
2. Desmos/GeoGebra & flags- graphing linear equations/inequalities w/ domain/range
3. CBR & movement- graphing/analyzing lines
4. Push toys- systems of equations
5. Water growing toys- growth rate
6. Ziplines, Balloons, Barbie, & Lego People - slope & linear equations

Flags And Tech To Teach Math, Kelly W. Remijan

Publications & Research

Teachers will discover innovative activities for math concepts that engage students with flags & technology such as CNC Machines, Google Sheets Pixel Art, Desmos, & GeoGebra.

Pixel Math Across All Levels, Kelly W. Remijan

Publications & Research

No abstract provided.

Career And Technology Connections To Enhance The Teaching & Learning Of Mathematics, Kelly W. Remijan

Publications & Research

No abstract provided.

Non-Academic Support Math Faculty Members Provide In Developmental Accelerated And Corequisite Support Courses In California Community Colleges, David Vakil '92

Doctoral Dissertations

To guide practitioners of rapidly evolving developmental math reform in community colleges, this study surveyed California community college math faculty who taught accelerated developmental courses or corequisite support courses. The survey was conducted during the early implementation phase of both course types, during spring and fall 2018 terms. This study measured faculty’s self-reported provision of forms of non-academic support, frequency of implementation, and reasons faculty believed the support would help students succeed. The literature review guided grouping non-academic support into five forms: nurturing, helping students’ motivation, providing a growth mindset theory of intelligence, helping provide social integration, and helping to …

Quantum Computing For The Quantum Curious, Ciaran Hughes, Joshua Isaacson, Anastasia Perry, Ranbel F. Sun, Jessica Turner

Open Access Books and Manuals

This open access book makes quantum computing more accessible than ever before. A fast-growing field at the intersection of physics and computer science, quantum computing promises to have revolutionary capabilities far surpassing “classical” computation. Getting a grip on the science behind the hype can be tough: at its heart lies quantum mechanics, whose enigmatic concepts can be imposing for the novice.

This classroom-tested textbook uses simple language, minimal math, and plenty of examples to explain the three key principles behind quantum computers: superposition, quantum measurement, and entanglement. It then goes on to explain how this quantum world opens up a …

Topics And Challenges In Teaching Computer Science For Gifted And Talented Students, Tom Meyer, Namrata Pandya

Faculty Publications & Research

No abstract provided.

A Psychometric Investigation Of A Mathematics Placement Test At A Science, Technology, Engineering, And Mathematics (Stem) Gifted Residential High School, Hannah Ruth Anderson

Publications & Research

Educational institutions, at all levels, must justify their use of placement testing and confront questions of their impact on students’ educational outcomes to assure all stakeholders that students are being enrolled in courses appropriate with their ability in order to maximize their chances of success (Linn, 1994; Mattern & Packman, 2009; McFate & Olmsted III, 1999; Norman, Medhanie, Harwell, Anderson, & Post, 2011; Wiggins, 1989). The aims of this research were to (1) provide evidence of Content Validity, (2) provide evidence of Construct Validity and Internal Consistency Reliability, (3) examine the item characteristics and potential bias of the items between …

Physical Science - Under Pressure: Matter And Its Interactions, David Hernandez, Elizabeth Martinez

Model NGSS Lessons: 4th - 5th Grade

Air pressure, or atmospheric pressure, is the force exerted on objects by the atmosphere. Barometers are typically used to measure atmospheric pressure. Made of a liquid filled glass tube, the level of liquid will rise when the pressure increases and fall when the pressure drops. Lower barometric pressure tends to be associated with precipitation and cloudiness, while higher readings are related to sunshine and calmer weather. Air is made of invisible particles. The density of these particles is affected by atmospheric pressure. The greater the pressure, the more densely packed the particles are. In comparison, less pressure means a lower …

Physical Science - Gravity On Earth: Gravitational Force, Patrick Young

Model NGSS Lessons: 4th - 5th Grade

Gravity is a curious property of our universe. Gravity causes objects to attract each other with a force. The strength of this force depends on the masses of the objects and their distance apart. The direction of the force is from the center of one object toward the center of the other. Although the force is invisible, we can observe its direction by watching how objects move in response to the force.

Physical Science - Railroad Rescue: Energy Conversion, Patrick Young

Model NGSS Lessons: 4th - 5th Grade

In January of 1952, the Sierra Nevada mountains of California were stuck by a record-breaking blizzard. Railroad tracks through the mountain passes were being blocked by avalanches and snowdrifts. The tracks were generally kept clear by powerful rotary snowplows, but this blizzard was like nothing the Southern Pacific Railroad had ever seen before.

Physical Science - Energy Transfer: Heat And Light, Patrick Young, Peg Steffen

Model NGSS Lessons: 4th - 5th Grade

Energy is the ability to do work. Energy can be thought of as a currency which is universally accepted as the way to make things happen. Energy can be stored in many ways and transferred from place to place in many ways.

Some of the most frequently recognized types of energy are heat and light. These, along with others, can be classified as a phenomenon known as electromagnetic radiation (EM). Radiation is energy that travels and spreads out as it goes. The visible light that comes from a lamp in your house and the radio waves that come from a …

Physical Science - Classroom Detective Agency: Chemical Changes, Peg Steffen

Model NGSS Lessons: 4th - 5th Grade

Students are introduced to the differences between physical and chemical changes in simple kitchen substances that react to water and indicators in characteristic ways. The observable clues that a physical change has occurred includes changes in state such as gas, liquid, or solid. The material itself is the same before and after the change. An ice cube melting is an example of a physical change.

Earth Science - Oil Spills And Dust Bowls: Earth's Systems, Cassandra Armstrong, Peg Steffen, Elizabeth Martinez

Model NGSS Lessons: 4th - 5th Grade

Earth is comprised of four interconnected systems: geosphere, hydrosphere, atmosphere, and biosphere. All of Earth’s processes are due to energy and matter cycling within and among these four systems. Because these systems are so connected, it is important to understand both individual characteristics of each system independently as well as features of their interactions with each other.

Physical Science - Speed And Energy: Diving Energy And Speed, Patrick Young

Model NGSS Lessons: 4th - 5th Grade

Energy is the ability to do work. Energy can be thought of as a currency which is universally accepted as the way to make things happen. All moving objects have energy. The amount of energy depends on their speed and mass. The faster an object moves, the more energy it has, and the more work it can do on other objects with which it interacts.

Physical Science - Supervillain Detention! Properties Of Matter, Patrick Young, Peg Steffen, Elizabeth Martinez

Model NGSS Lessons: 4th - 5th Grade

Scientists and engineers need to understand the properties of the materials they use. They choose the best materials for specific projects based on the properties of the materials. For example, civil engineers must have a thorough understanding of the properties of materials that might be used to build roads, dams, or bridges and plan their designs around the materials that will be used.

Earth/Space Science - Earth's Place In Space: Seasonal Change, Elizabeth Martinez, Peg Steffen

Model NGSS Lessons: 4th - 5th Grade

A key Disciplinary Core Idea for understanding our place in space is that the orbits of Earth and the sun and of the moon around Earth cause observable patterns. These include day and night; daily changes in the length of shadows; and different positions of the sun, moon, and stars at different times. There are many misconceptions about earth’s orbit but it is important to remember and to convey to students that Earth is moving around the Sun and the Moon is moving around us. What we see each day with the motion of the Sun moving across the sky …

Physical And Life Science - Food And Energy: Animal And Plant Energy, Cassandra Armstrong

Model NGSS Lessons: 4th - 5th Grade

Energy exists in many forms and is constantly being transferred between forms. All energy types can be sorted into two main categories: potential and kinetic. Potential energy is stored energy. Chemical energy, nuclear energy, stored mechanical energy, and gravitational energy are all examples of potential energy. Kinetic energy is the energy of motion. Radiant (light) energy, thermal energy, sound energy, and electrical energy are all examples of kinetic energy. Energy cannot be created or destroyed, only transferred between the types of energy. Most energy we use on Earth stems from the nuclear energy from within the sun.

Using Robotics And Engineering Design Inquiries To Optimize Learning For Middle Level Teachers: A Case Study, Iman Chafik Chahine, Norman Robinson Iii, Kimbeni Mansion

Publications & Research

This exploratory case study reports findings on 20 middle-level science and mathematics teachers’ perceptions of the effectiveness of a one-year project in which teachers engaged in using robotics and engineering design inquiries in their classrooms. Principled by Bandura’s Social Learning Theory (SLT) and using mixed methods approaches, the study measured teachers' efficacy through the Mathematics Teaching Efficacy Belief Instrument (MTEBI) and observation logs before and after the program. The results of this study showed statistically significant differences between PRE MTEBI and POST MTEBI scores. Furthermore, five themes emerged that illuminated potential affordances and constraints that teachers perceive as opportunities and …

Inquiry Based Instruction In Chemistry With Games, Karen Ye

Professional Learning Day

Games can be a fun and motivating way to engage students, but they are often used as a means to practice, apply, or review learned content instead of introducing a new concept. In this session, participants will explore the use of common games as a tool for an inquiry-based approach to introducing topics in high school chemistry such as atomic structure and periodic trends.

The Wright Stuff: An Integrative Approach To Stained Glass, Cassandra Wissink Armstrong

Professional Learning Day

In this session we'll explore the scientific and mathematical influences behind the artistic stained glass creations of Frank Lloyd Wright, and use them to create our own Wright-inspired stained glass designs. This is a truly integrative lesson that touches on properties of glass, linear functions, and artistic design.

Inquiry Based Instruction In Chemistry With Games, Karen Ye

Professional Learning Day

Games can be a fun and motivating way to engage students, but they are often used as a means to practice, apply, or review learned content instead of introducing a new concept. In this session, participants will explore the use of common games as a tool for an inquiry-based approach to introducing topics in high school chemistry such as atomic structure and periodic trends.

Be The Change: Re-Ignite Student’S Passion For Problem Solving & Mathematics, Joseph Bolz, Marti Shirley

Faculty Publications & Research

Outcomes!

• I will be able to facilitate an open ended and open middle problems in the classroom, complete with questioning techniques and student prompts.
• I will experience how to modify a textbook problem into a richer open task that encourages discussion and multiple approaches, with a focus on tailoring them to real world applications.
• I will leave with a list of questions, perfect for posing to students while engaged in the problem solving process, and also useful for any class period when students are lacking persistence

Using Forensics To Introduce Ir Spectroscopy & Molecular Modeling, Joseph T. Golab

Faculty Publications & Research

A student activity is reported that analyzes “medical evidence” with experimental and computational methods. The lesson demonstrates benefits of solving practical problems with integrated tools.

Context Is Critical: K-5th Grade Three-Act Math Tasks, Lindsey Herlehy

Publications & Research

Mathematicians view mathematics within interesting and natural contexts. In this session, participants will engage and explore Three-Act Math Tasks; a story-telling pedagogical strategy that elicits student curiosity, collaboration, and questioning while redefining the term “real-world context” and the role that students play in the learning process. Resources will be provided

Session E-2: Sharing Analogies And Demonstrations To Reinforce Chemistry Concepts, Dave Devol, Angela Ahrendt

Professional Learning Day

Chemistry concepts can often be difficult for students to understand, in part due to the fact that we are discussing with students things that cannot be seen (atoms and molecules!). Analogies that relate chemistry concepts to things that students are more familiar with can be a powerful way to help them understand concepts, as can demonstrations that make concepts come to life visually. We will share a few of our favorite analogies/demos, and ask that each participant share one of their favorite analogies or demos. As we realize it would be difficult for visiting teachers to bring what they need …

Session D-1: Lies, Damn Lies, And Statistics, Peter Dong, Joseph Traina

Professional Learning Day

The crucial and sometimes difficult areas of data analysis and statistics can be made clearer by looking at examples of how they can be done badly - examples which, unfortunately, are easy to find. We share our experience teaching a short course which examines disingenuous graphs, biased surveys, deliberately misworded statements, and other methods of misrepresenting data. The negative examples provide an opportunity to discuss how statistics should properly be done, and explain what can happen when statistics are used incorrectly. We include a discussion of the failure of polls to predict the outcome of the presidential election.

Session D-5: Informal Comparative Inference: What Is It?, Karen Togliatti

Professional Learning Day

Come and experience a hands-on task that has middle-school students grapple with informal inferential reasoning. Three key principles of informal inference – data as evidence, probabilistic language, and generalizing ‘beyond the data’ will be discussed as students build and analyze distributions to answer the question, “Does hand dominance play a role in throwing accuracy?” Connections to the CCSSM statistics standards for middle-school will be highlighted.