Although basing instruction on a learning trajectory (LT) is often recommended, there is little evidence regarding the premise of a LT approach--that to be maximally meaningful, engaging, and effective, instruction is best presented one LT level beyond a child's present level of thinking. This hypothesis was evaluated for an empirically-validated…

Although basing instruction on a learning trajectory (LT) is often recommended, there is little evidence regarding a premise of a LT approach--that to be maximally meaningful, engaging, and effective, instruction is best presented 1 LT level beyond a child's present level of thinking. We evaluated this hypothesis using an empirically validated LT…

All students deserve access to a rich and meaningful math curriculum. This book guides middle and high school teachers toward providing all learners -- including neurodiverse students -- with the support necessary to engage in rewarding math content. Students who receive special education services often experience a limited curriculum through…

Many teachers ask: "What do I do for students who finish their work before everyone else? Is there anything I can use that doesn't require me to read a long textbook with complicated instructions?" If you would like to do more for gifted students and need simple strategies that you can use tomorrow, this book is for you. Inside are helpful methods…

Consideration is given to using the branching strategy to teach mathematics to children with learning disabilities, or any elementary school child having difficulties. Branching involves altering instructional goals and expectations for students based on developmental levels, learning characteristics, and sensory needs, and changing the antecedent…

The procedures used in the initial development of a Mathematics Laboratory within the Individually Prescribed Instruction (IPI) Mathematics Program are reported. The thesis of the report is that in the development of educational programs, especially those which are complex, attention should be directed both to the design of the program and the…

The placement and diagnostic tests used in instructional systems designed to be adaptive to the individual learner's characteristics are examined. The necessity of pretesting students before instruction is questioned. According to the author, both the necessity for and the content of the Individually Prescribed Instruction (IPI) type of pretest…

The 7th International Conference on Education Data Mining held on July 4th-7th, 2014, at the Institute of Education, London, UK is the leading international forum for high-quality research that mines large data sets in order to answer educational research questions that shed light on the learning process. These data sets may come from the traces…