Integrated Problem Solving

Although the type model does not encompass every aspect of our mental activities and challenges, it does describe the core of who we are—and of who we can potentially grow to become.

Although the type model does not encompass every aspect of our mental activities and challenges, it does describe the core of who we are—and of who we can potentially grow to become.

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Problem-solving involves three basic functions: Problem-solving is, and should be, a very real part of the curriculum.

It presupposes that students can take on some of the responsibility for their own learning and can take personal action to solve problems, resolve conflicts, discuss alternatives, and focus on thinking as a vital element of the curriculum.

Wolfram|Alpha computes integrals differently than people. It calls Mathematica's Integrate function, which represents a huge amount of mathematical and computational research. Instead, it uses powerful, general algorithms that often involve very sophisticated math.

There are a couple of approaches that it most commonly takes.

Following an eight-step format to examine an issue of their choosing, an IPS session takes participants through all of the “mental processes” of the human cognitive toolkit.

They learn to recognize, appreciate, and use the strengths that are the natural gifts of their own natural type preferences, and those of their co-workers.

They gain a vivid, experiential understanding of their blind spots—their “opportunities for improvement”—as well.

Ultimately our ability, as individuals and as teams, to adapt quickly and successfully to what life throws our way rests mostly on our level of type development—on our ability to consciously choose and skillfully use the most appropriate and effective tools from our innate psychological toolkit.

A common way to do so is to place thin rectangles under the curve and add the signed areas together.

Wolfram|Alpha can solve a broad range of integrals.