This book is a compilation of tools, techniques and frameworks for use in the field of entrepreneurship and innovation (E&I) education. Developed and honed over the past two decades, these teaching approaches are combined with well-versed practical insight. As professors know all too well, the human brain cannot articulate more than three or…

We present noncompetitive adsorption as "particles in a box with one sticky wall." We start with a general model that can be modeled as a simple ordinary differential equation (ODE). To verify the ODE students run a computer simulation. The ODE's solution imperfectly fits the simulation's data. This leads to the diffusion partial…

Here, we present an interdisciplinary educational project intended for high school chemistry that is focused on the establishment of a mathematical model to describe the relationship between conductivity and concentration, while linking chemistry to mathematics with the help of computer software. The project was designed to help high school…

The NGSS MS-ETS1 Engineering Design (1-4) is the focus of the article. Development of a challenging problem-based activity that is an improvement over the traditional egg drop competition is emphasized. Quantification of data collected and real-world relevance are two activity components that are viewed as improvements over the egg drop. The…

Mathematical modeling, a key strand in mathematics, engages students in rich, authentic, exciting, and culturally relevant problems and connects abstract mathematics to the surrounding world. In this, article, the authors describe a modeling activity that can be used when teaching linear equations. Modeling problems, in general, are typically high…

Environmental education for all students is becoming more urgent as societies strive to deal with challenges such as climate change and loss of biodiversity. Teachers have an important role to play in defining the environmental knowledge, beliefs, and actions of the next generation. Understanding the anthropogenic inputs responsible for alteration…

Ensure your students develop the complex, higher-order thinking skills they need to not just survive but thrive in a 21st century world. The latest edition of this best-selling guide by James A. Bellanca, Robin J. Fogarty, and Brian M. Pete details a three-phase teaching model and dives deep into how to teach seven key student proficiencies:…

Fermi problems are problems which, due to their difficulty, can be satisfactorily solved by being broken down into smaller pieces that are solved separately. In this article, we present different sequences of activities involving Fermi problems that can be carried out in Secondary School classes. The aim of these activities is to discuss…

Across the United States, political leaders, educators, and business persons are issuing an urgent call for reform in STEM education (NGSS Lead States 2013). One important response to this call is Integrated STEM, which the National Governor's Association (2007, p. 7) says involves, "... an emphasis on design and problem solving in…

To show students how engineering design practices reduce the impacts of a natural hazard, the authors--two science educators and an elementary teacher--taught a three-day 5E lesson that focused on hurricanes. They specifically focused on hurricanes because their students are located near a coastal area and are familiar with the effects of this…

For many students, making connections between mathematical ideas and the real world is one of the most intriguing and rewarding aspects of the study of mathematics. In the Common Core State Standards for Mathematics (CCSSI 2010), mathematical modeling is highlighted as a mathematical practice standard for all grades. To engage in mathematical…

Using Mathematical Modelling has become a useful tool in teaching-learning mathematics at all levels. This is so because mathematical objects are seen from their very applications, giving them meaning from the beginning. In this paper we present some details on the development of a teacher's training course called Modelling in the Teaching of…

Mastering algebra is important for future math and postsecondary success. Educators will find practical recommendations for how to improve algebra instruction in the What Works Clearinghouse (WWC) practice guide, "Teaching Strategies for Improving Algebra Knowledge in Middle and High School Students". The methods and examples included in…

What is the relationship between addition and subtraction? How do individuals know whether an algorithm will always work? Can they explain why order matters in subtraction but not in addition, or why it is false to assert that the sum of any two whole numbers is greater than either number? It is organized around two big ideas and supported by…

How can teachers ensure instruction is aligned with 21st century demands for self-directed, collaborative problem solvers? Practice exercises are not the answer. Instead, here's a book that explains why the key is to use explicit instruction that includes proficient models, specific feedback, and supportive coaching. Rhoda Koenig gives you insight…