Ancillary Information for Foundations 2e & 3e
(Free with a school adoption.)

Neuroscience in Foundations 3e
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Foundations for College Mathematics 2e and 3e
Edward D. Laughbaum
Emeritus Professor​
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Foundations for College Mathematics 3e is typically used as a remedial algebra textbook, a soft track Algebra II text, or a college developmental algebra text. Foundations uses a function approach with the introduction to new content based in real-world contexts. Foundations uses function, function representation, and function behaviors to enhance the teaching/learning of concepts and skills such as factoring, equation solving, arithmetic operations on polynomials, systems of equations, inequalities, properties of inequalities, definitions, concept of asymptotic behavior, absolute value, slope, laws of exponents, etc. Guided discovery learning is implemented with an expectation of student understanding (as opposed to student memorization), and the use of the graphing calculator is required. The over-all structure of Foundations is in concert with the way the brain learns,
​understands, remembers, and recalls. At the same time, the table of contents of the traditional textbooks has been relatively preserved.The traditional topics are placed after a discovery study of  function and function behaviors (Chapters Two & Three) – so that the concept of function and function behaviors can be used to teach these more traditional topics. No other textbook uses these forward thinking
​ideas for teaching and learning.

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Teach Algebra through Questioning Using Apps for Tablets


​Algebra through Questioning Using Apps for Tablets-- The algebra apps listed in the document linked to the title above are lessons that facilitate learning through questioning with immediate feedback. They encourage students to look for patterns helping to discover the concepts/procedures in the lessons. Visualizations are crucial to understanding algebra; therefore, the graphing calculator is highly recommended. Like pattern generalizing and visualizations, connections are also essential to learning. The app lessons connect algebra through function. The apps are available in the Nook App Store (Barns and Noble App Store), Amazon (Kindle App Store), iPad App Store, and Google Play. The 9 apps for tablets contain 81 lessons and 948 multiple-choice or open-ended questions. Each app is only $0.99. For a table of contents and a further description of each app click on the links in the title. Another option is to search on “Red Bank Publishing” in your app store. Each lesson is a series of questions; if viewed as individual questions something like homework exercises, you will miss the concept behind the lessons. One must answer all the questions to process the understanding and creation of long-term memory goals of the lessons. That is, the questions are pattern-building activities leading to a mathematical outcome. As such, it is the entirety of the lesson that is crucial, and not an individual question. Looking at this another way, it is like trying to determine the functionality of an arm by looking at an individual cell in the arm. Through pattern building, your brain will generalize the desired mathematical outcome. However, a word of caution, not following the specific directions included under the “?” at the bottom of each question may cause generalizations to fail. The brain needs the conditions established in the lessons to order to generalize.

 Explorations, Concept Quizzes, Investigations,and Modeling Projects for Foundations for College Mathematics 3e.
Edward D. Laughbaum, Author
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This activity book is a collection of almost 350 pages of teaching and learning activities, supplemental tests, and modeling projects. Most of the activities require the graphing calculator.
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Foundations 3e is now available in a digital format.
See http://itunes.apple.com/us/book/foundations-for-college-mathematics/id534452672?mt=11
for chapters 1-5.
See http://itunes.apple.com/us/book/foundations-for-college-mathematics/id535054372?mt=11 for chapters 6-10.
See http://itunes.apple.com/us/book/foundations-for-college-mathematics/id535070789?mt=11 for chapters 11-14.