Group items tagged

For instance, how often do most adults encounter a situation in which they need to solve a quadratic equation? Do they need to know what constitutes a “group of transformations” or a “complex number”? Of course professional mathematicians, physicists and engineers need to know all this, but most citizens would be better served by studying how mortgages are priced, how computers are programmed and how the statistical results of a medical trial are to be understood.

Imagine replacing the sequence of algebra, geometry and calculus with a sequence of finance, data and basic engineering.

Traditionalists will object that the standard curriculum teaches valuable abstract reasoning, even if the specific skills acquired are not immediately useful in later life. A generation ago, traditionalists were also arguing that studying Latin, though it had no practical application, helped students develop unique linguistic skills. We believe that studying applied math, like learning living languages, provides both useable knowledge and abstract skills.

In math, what we need is “quantitative literacy,” the ability to make quantitative connections whenever life requires (as when we are confronted with conflicting medical test results but need to decide whether to undergo a further procedure) and “mathematical modeling,” the ability to move practically between everyday problems and mathematical formulations (as when we decide whether it is better to buy or lease a new car).

Online learning allows for flexibility of access, from anywhere and usually at anytime—essentially, it allows participants to collapse time and space (Cole, 2000)—however, the learning materials must be designed properly to engage the learner and promote learning.

Cognitive psychology claims that learning involves the use of memory, motivation, and thinking, and that reflection plays an important part in learning.

The development of effective online learning materials should be based on proven and sound learning theories.

Early computer learning systems were designed based on a behaviorist approach to learning. The behaviorist school of thought, influenced by Thorndike (1913), Pavlov (1927), and Skinner (1974), postulates that learning is a change in observable behavior caused by external stimuli in the environment (Skinner, 1974).

Therefore, before any learning materials are developed, educators must, tacitly or explicitly, know the principles of learning and how students learn.

Constructivist theorists claim that learners interpret information and the world according to their personal reality, and that they learn by observation, processing, and interpretation, and then personalize the information into personal knowledge (Cooper, 1993; Wilson, 1997).

The design of online learning materials can include principles from all three. According to Ertmer and Newby (1993), the three schools of thought can in fact be used as a taxonomy for learning. Behaviorists' strategies can be used to teach the “what” (facts), cognitive strategies can be used to teach the “how” (processes and principles), and constructivist strategies can be used to teach the “why” (higher level thinking that promotes personal meaning and situated and contextual learning).

The behaviorist school sees the mind as a “black box,” in the sense that a response to a stimulus can be observed quantitatively, totally ignoring the effect of thought processes occurring in the mind.

Learners should be told the explicit outcomes of the learning so that they can set expectations and can judge for themselves whether or not they have achieved the outcome of the online lesson. 2.  Learners must be tested to determine whether or not they have achieved the learning outcome. Online testing or other forms of testing and assessment should be integrated into the learning sequence to check the learner's achievement level and to provide appropriate feedback. 3.  Learning materials must be sequenced appropriately to promote learning. The sequencing could take the form of simple to complex, known to unknown, and knowledge to application. 4.  Learners must be provided with feedback so that they can monitor how they are doing and take corrective action if required.

Cognitivists see learning as an internal process that involves memory, thinking, reflection, abstraction, motivation, and meta-cognition.

Online instruction must use strategies to allow learners to attend to the learning materials so that they can be transferred from the senses to the sensory store and then to working memory.

Online learning strategies must present the materials and use strategies to enable students to process the materials efficiently.

information should be organized or chunked in pieces of appropriate size to facilitate processing.

Use advance organizers to activate an existing cognitive structure or to provide the information to incorporate the details of the lesson (Ausubel, 1960).

Use pre-instructional questions to set expectations and to activate the learners' existing knowledge structure.

Use prerequisite test questions to activate the prerequisite knowledge structure required for learning the new materials.

To facilitate deep processing, learners should be asked to generate the information maps during the learning process or as a summary activity after the lesson (Bonk & Reynolds, 1997).

The cognitive school recognizes the importance of individual differences, and of including a variety of learning strategies in online instruction to accommodate those differences

The Kolb Learning Style Inventory (LSI) (Kolb, 1984) looks at how learners perceive and process information, whereas the Myers-Briggs Type Indicator (Myers, 1978) uses dichotomous scales to measure extroversion versus introversion, sensing versus intuition, thinking versus feeling, and judging versus perception. In the following discussion, we consider the Kolb Learning Style Inventory.

Attention: Capture the learners' attention at the start of the lesson and maintain it throughout the lesson. The online learning materials must include an activity at the start of the learning session to connect with the learners. Relevance: Inform learners of the importance of the lesson and how taking the lesson could benefit them. Strategies could include describing how learners will benefit from taking the lesson, and how they can use what they learn in real-life situations. This strategy helps to contextualize the learning and make it more meaningful, thereby maintaining interest throughout the learning session. Confidence: Use strategies such as designing for success and informing learners of the lesson expectations. Design for success by sequencing from simple to complex, or known to unknown, and use a competency-based approach where learners are given the opportunity to use different strategies to complete the lesson. Inform learners of the lesson outcome and provide ongoing encouragement to complete the lesson. Satisfaction: Provide feedback on performance and allow learners to apply what they learn in real-life situations. Learners like to know how they are doing, and they like to contextualize what they are learning by applying the information in real life.

Online strategies that facilitate the transfer of learning should be used to encourage application in different and real-life situations.

Constructivists see learners as being active rather than passive.

it is the individual learner's interpretation and processing of what is received through the senses that creates knowledge.

“the process of using a prior interpretation to construe a new or revised interpretation of the meaning of one's experience in order to guide future action” (p. 12).

Learning should be an active process. Keeping learners active doing meaningful activities results in high-level processing, which facilitates the creation of personalized meaning. Asking learners to apply the information in a practical situation is an active process, and facilitates personal interpretation and relevance.

Learners should construct their own knowledge rather than accepting that given by the instructor.

Collaborative and cooperative learning should be encouraged to facilitate constructivist learning (H

When assigning learners for group work, membership should be based on the expertise level and learning style of individual group members, so that individual team members can benefit from one another's strengths.

  Learners should be given control of the learning process

Learners should be given time and opportunity to reflect.

Learning should be made meaningful for learners. The learning materials should include examples that relate to students, so that they can make sense of the information.

Learning should be interactive to promote higher-level learning and social presence, and to help develop personal meaning. According to Heinich et al. (2002), learning is the development of new knowledge, skills, and attitudes as the learner interacts with information and the environment. Interaction is also critical to creating a sense of presence and a sense of community for online learners, and to promoting transformational learning (Murphy & Cifuentes, 2001). Learners receive the learning materials through the technology, process the information, and then personalize and contextualize the information.

Figure 1-6. Components of effective online learning.

Behaviorist strategies can be used to teach the facts (what); cognitivist strategies to teach the principles and processes (how); and constructivist strategies to teach the real-life and personal applications and contextual learning. There is a shift toward constructive learning, in which learners are given the opportunity to construct their own meaning from the information presented during the online sessions. The use of learning objects to promote flexibility and reuse of online materials to meet the needs of individual learners will become more common in the future. Online learning materials will be designed in small coherent segments, so that they can be redesigned for different learners and different contexts. Finally, online learning will be increasingly diverse to respond to different learning cultures, styles, and motivations.

Online instruction occurs when learners use the Web to go through the sequence of instruction, to complete the learning activities, and to achieve learning outcomes and objectives (Ally, 2002; Ritchie & Hoffman, 1997).

When faculty of a major Chinese university asked Plucker to identify trends in American education, he described our focus on standardized curriculum, rote memorization, and nationalized testing. “After my answer was translated, they just started laughing out loud,” Plucker says. “They said, ‘You’re racing toward our old model. But we’re racing toward your model, as fast as we can.’ ”

The argument that we can’t teach creativity because kids already have too much to learn is a false trade-off. Creativity isn’t about freedom from concrete facts. Rather, fact-finding and deep research are vital stages in the creative process.

When you try to solve a problem, you begin by concentrating on obvious facts and familiar solutions, to see if the answer lies there. This is a mostly left-brain stage of attack. If the answer doesn’t come, the right and left hemispheres of the brain activate together. Neural networks on the right side scan remote memories that could be vaguely relevant. A wide range of distant information that is normally tuned out becomes available to the left hemisphere, which searches for unseen patterns, alternative meanings, and high-level abstractions. Having glimpsed such a connection, the left brain must quickly lock in on it before it escapes. The attention system must radically reverse gears, going from defocused attention to extremely focused attention. In a flash, the brain pulls together these disparate shreds of thought and binds them into a new single idea that enters consciousness. This is the “aha!” moment of insight, often followed by a spark of pleasure as the brain recognizes the novelty of what it’s come up with. Now the brain must evaluate the idea it just generated. Is it worth pursuing? Creativity requires constant shifting, blender pulses of both divergent thinking and convergent thinking, to combine new information with old and forgotten ideas. Highly creative people are very good at marshaling their brains into bilateral mode, and the more creative they are, the more they dual-activate.

those who diligently practice creative activities learn to recruit their brains’ creative networks quicker and better

Creativity has always been prized in American society, but it’s never really been understood. While our creativity scores decline unchecked, the current national strategy for creativity consists of little more than praying for a Greek muse to drop by our houses. The problems we face now, and in the future, simply demand that we do more than just hope for inspiration to strike. Fortunately, the science can help: we know the steps to lead that elusive muse right to our doors.

What’s common about successful programs is they alternate maximum divergent thinking with bouts of intense convergent thinking, through several stages. Real improvement doesn’t happen in a weekend workshop. But when applied to the everyday process of work or school, brain function improves.

kids demonstrated the very definition of creativity: alternating between divergent and convergent thinking, they arrived at original and useful ideas. And they’d unwittingly mastered Ohio’s required fifth-grade curriculum—from understanding sound waves to per-unit cost calculations to the art of persuasive writing. “You never see our kids saying, ‘I’ll never use this so I don’t need to learn it,’ ” says school administrator Maryann Wolowiec. “Instead, kids ask, ‘Do we have to leave school now?’ ” Two weeks ago, when the school received its results on the state’s achievement test, principal Traci Buckner was moved to tears. The raw scores indicate that, in its first year, the school has already become one of the top three schools in Akron, despite having open enrollment by lottery and 42 percent of its students living in poverty.

project-based learning

highly creative adults frequently grew up with hardship. Hardship by itself doesn’t lead to creativity, but it does force kids to become more flexible—and flexibility helps with creativity.

When creative children have a supportive teacher—someone tolerant of unconventional answers, occasional disruptions, or detours of curiosity—they tend to excel. When they don’t, they tend to underperform and drop out of high school or don’t finish college at high rates. They’re quitting because they’re discouraged and bored, not because they’re dark, depressed, anxious, or neurotic. It’s a myth that creative people have these traits. (Those traits actually shut down creativity; they make people less open to experience and less interested in novelty.) Rather, creative people, for the most part, exhibit active moods and positive affect. They’re not particularly happy—contentment is a kind of complacency creative people rarely have. But they’re engaged, motivated, and open to the world.

solutions emerge from a healthy marketplace of ideas, sustained by a populace constantly contributing original ideas and receptive to the ideas of others

The age-old belief that the arts have a special claim to creativity is unfounded.

When scholars gave creativity tasks to both engineering majors and music majors, their scores laid down on an identical spectrum, with the same high averages and standard deviations. Inside their brains, the same thing was happening—ideas were being generated and evaluated on the fly.

those who diligently practice creative activities learn to recruit their brains’ creative networks quicker and better. A lifetime of consistent habits gradually changes the neurological pattern.

The home-game version of this means no longer encouraging kids to spring straight ahead to the right answer

The new view is that creativity is part of normal brain function.

“As a child, I never had an identity as a ‘creative person,’ ” Schwarzrock recalls. “But now that I know, it helps explain a lot of what I felt and went through.”

In China there has been widespread education reform to extinguish the drill-and-kill teaching style. Instead, Chinese schools are also adopting a problem-based learning approach.

fact-finding

problem-finding

Next, idea-finding

there is one crucial difference between IQ and CQ scores. With intelligence, there is a phenomenon called the Flynn effect—each generation, scores go up about 10 points. Enriched environments are making kids smarter. With creativity, a reverse trend has just been identified and is being reported for the first time here: American creativity scores are falling.

I met with each teacher one-on-one to ask questions and understand their hopes, fears, and support needs in the upcoming year. By choosing to listen rather than to talk, I conveyed that I saw my primary duty as supporting good teaching.

Rather than reject his adapted style, I tried to build off of it

As his coach, I sought to model, little by little, some strategies I had learned on the job, such as literacy-building techniques, structuring controversial debates, and charting student discussions on the board for visual impact.