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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).

did notreturn any recent studies investigating the effec-tiveness of a purely cognitive intervention in thetreatment of MPA; consequently, research inthis particular area is needed

Past re-search has focused on combined interventions;however, often these programs run for over 6weeks and it is unknown which aspects of theintervention are most effective (e.g., Nagel,Himle, & Papsdorf, 1989)

State–Trait Anxiety Inventory (STAI).The STAI is widely used in anxiety researchand is considered to be a valid and reliable scale(Kenny, 2006).

The PAI (Nagel, Himle, & Papsdorf, 1981) isbased on the STAI and is a music inventoryassessing the three-systems model of anxiety

heart rate at 10 min, 5

Signs of anxiety included trem-bling knees, lifting shoulders, stiff back and/orneck, trembling hands, stiff arms, face deadpan,shaking head, moistening and/or biting lips, dis-tressed facial expressions, and sweating.

Nagel et al.reported that the average preintervention scorewas 55 and the average postintervention scorewas 38, with a score of 39 or less indicating a

person has few problems with performance anx-iety

Researchers have found that MPA af-fects instrumentalists and vocalists of all agesand abilities, including students, professionals,amateurs, and children (Brotons, 1994; Kenny,2006; Liston, Frost, & Mohr, 2003)

Few studies have investigated whether a cog-nitive intervention can reduce anxiety and en-hance performance in musicians (Lehrer, 1987;Steptoe & Fidler, 1987)

Few studies have investigated whether a cog-nitive intervention can reduce anxiety and en-hance performance in musicians (Lehrer, 1987;Steptoe & Fidler, 1987

The cognitive intervention had no significanteffect on anxiety levels. Sweeney and Horan’s(1982) study indicated that a cognitive restruc-turing program may be helpful in the treatmentof MPA; their program, featuring cognitive re-structuring, significantly reduced anxiety.

d it is unknown which aspects of theintervention are most effective (e.g., Nagel,Himle, & Papsdorf, 1989)

The STAI is widely used in anxiety researchand is considered to be a valid and reliable scale

Performance Anxiety Inventory (PAI)

cognitive, behavioral, and physiological fac

and has beenwidely used in treatment outcome research

Behavioral Anxiety Index (BAI)

igns of anxiety included trem-bling knees, lifting shoulders, stiff back and/orneck, trembling hands, stiff arms, face deadpan,shaking head, moistening and/or biting lips, dis-tressed facial expressions, and sweating

Participants were then taught howthoughts, behaviors, and feelings interact andinfluence performance

practical exercise, how people waste their en-ergy trying to control uncontrollable factors,thereby impairing performance

This exercise wasdesigned to demonstrate how thoughts cansometimes be irrational and can be changed inlight of new evidence

how to use self-talk effectively and how touse cues

Participants practiced how to identify negativethoughts, stop the thoughts, and use cues to helpthem overcome the negative thoughts.

Imagery is a mentalexercise that can help athletes maintain concen-tration, decrease anxiety, and improve confi-dence; thus, it may also be helpful for somemusicians (Gregg & Clark, 2007).

Participants in the wait-list controlgroup waited 3 weeks until their second perfor-mance, which was on the same night as theirfirst worksho

MPA is a pervasive problem affecting musi-cians of all ages and abilities. As compared withthe research on mental skills training in athletes,relatively little is known about the assessment,treatment, and theoretical underpinnings ofMPA

Kenny (2006) suggested that improving perfor-mance quality will have a positive, self-reinforcing effect on the musician and enhanceconfidence in future performances.

We predicted that anxiety levels would de-crease in the treatment group from pre- to post-test. This hypothesis was partially supported.Specifically, there was a significant reductionon the PAI in the treatment group. Although theparticipants improved after the intervention,they were still not within the optimal rangeaccording to Nagel et al. (1981

Although the decrease in anxiety was notas large in our study, our participants droppedfrom the high performance anxiety category tothe moderate performance anxiety category

Websites and laptops have been around for years now, but we haven’t fully thought through how to integrate them with teaching so as to conceive of courses differently.

“In the standard approach, the emphasis in class is on the first, and the second is left to the student on his or her own, outside of the classroom

you have to flip that, and put the first one outside the classroom, and the second inside

We have to train people to tackle situations they have not encountered before. Most instructors avoid this like the plague, because the students dislike it. Even at Harvard, we tend to keep students in their comfort zone. The first step in developing those skills is stepping into unknown territory.

hey’d much rather sit there and listen and take notes. Some will say, ‘I didn’t pay $47,000 to learn it all from the textbook. I think you should go over the material from the book, point by point, in class.’

It’s no accident that most elementary schools are organized that way.

But ultimately, learning is a social experience.

Perhaps the key is to coax students not only out of their rooms, but into each other’s minds.

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).