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Notes for 1-hour Presentation
12/04/02
The 50-page booklet Brief Introduction to Roles of
Computers in Problem Solving is suitable for use in a 10
class-hour unit of study. When faced with only one hour in
which to hit some of the highlights, I focused mainly on the
first 11 pages. Here are my notes for working with a group
of about 40 inservice teachers.
A Few Key Ideas on ICT in Problem
Solving
Dave Moursund 12/4/02
We will work in groups of about 3-4 people. Within each
group, each person should designate themselves as a
different one of the following:
- A Language Arts person
- A Math person
- A Science person
- A Social Science person
- An "Other Discipline" (name the Specific Discipline)
person
In the small group discussions that we will be employing
throughout this hour, each person should try to reflect
their "Discipline" orientation and point of view.
While We Wait for Late Arrivals
Take a look at the Google
Search provisions provided on the OTEC Website. One can
search the OTEC site, the Darkwing Domain, or the WWW. Just
for the fun of it, search for Virtual
Manipulatives on the OTEC site. And, think about the
idea that a hardcopy book is organized in a linear fashion,
with a Table of Contents and an Index to aid the reader in
finding specific content. That is quite a bit different from
the aids to information retrieval available for electronic
documents.
Part 1: Introduction
1A. The term "problem solving" includes:
- posing, clarifying, and answering questions
- posing, clarifying, and solving problems
- posing, clarifying, and accomplishing tasks
- posing, clarifying, and making decisions
- using higher-order, critical, and wise thinking to do
all of the above
1B. Activity. Each person in a discussion group is
to give some examples of the general types of problems from
the Discipline that they represent. We are looking for
examples of problems that require higher-order thinking
skills, rather than lower-order thinking skills.
2A. Each academic discipline can be defined by the
general nature of the problems it addresses, the
methodologies that it uses, and its accumulated results. It
is not enough to say that math addresses math problems while
history addresses history problems. More detail is need on
the nature of the problems that are addressed, the
methodologies used, and the results that have been
achieved.
2B. Activity. Each person in a discussion group is
to give some examples of some of the Big Ideas in the
accumulated results of the Discipline they represent.
3A. An Educational Goal: We want to help students to gain
increased expertise in problem solving.
3B. Activity. Each person in a discussion group is
to explain how both a teacher and a student can gain
increasing expertise within the Discipline they
represent.
Part 2: A Few Golden Nuggets
4A. There is no fine dividing line between lower-order
skills and higher-order skills. Typically, "real-world"
problem solving requires the use of a combination of
lower-order and higher-order skills drawn from a wide range
of disciplines. The two theories Constructivism
and Situated Learning tell us that teaching &
learning environments us that teaching environments and
content should be an appropriate blend of:
- Lower-order and higher-order
- Specific discipline and multidiscipline
4B. Activity. Each person in a discussion group is
to give some examples of teaching/learning environments
within their Discipline that focus mainly on lower-order
skills, and some examples that focus mainly on higher-order
skills.
5A. One of the most important goals in education is to
facilitate students learning in a manner that transfers over
time, distance, and problem domains.
5B. Activity. Each person in a discussion group is
to give some examples on how they teach for transfer of
learning as they teach their Discipline.
6A. Typically, real-world problem solving makes use of a
wide range of resources, and one way to view some of these
resources is via the diagram given below. Information and
Communication Technology (ICT) includes a large and steadily
growing collection of powerful resources
6B. Activity (Whole group). Brainstorm and discuss
how Information and Communication Technology fits into items
1-5 given above.
Notes for 2-hour Presentation
4/16/03
A Few Key Ideas on ICT in Problem Solving:
2-Hour Session
Dave Moursund
University of Oregon
The 50-page booklet Brief Introduction to Roles of
Computers in Problem Solving is suitable for use in a 10
class-hour unit of study. When faced with only two hour in
which to hit some of the highlights, I focused mainly on the
first 11 pages and then a few additional highlights. Here
are my notes for working with a mixed audience of teachers,
school administrators, and other educators. The book is
available at: http://darkwing.uoregon.edu/~moursund/SPSB/.
Getting Started
Organize Yourselves into Small
Groups
Problem solving is part of each discipline or field of
study. We will work in groups of about 3-4 people. Some
people in a group will need to "pretend" that they are
filling a particular role. Within each group, each person
should designate themselves as a different one of the
following:
- A Language Arts person
- A Math person
- A Science person
- A Social Science person
- An "Other Discipline" (name the Specific Discipline)
person
In the small group discussions that we will be employing
throughout this presentation, each person should try to
reflect their "Discipline" orientation and point of view.
Begin by introducing yourself within your areas of actual
expertise, and saying what teaching area you will represent
in small group discussions.
The following diagram represents the reason why we are
doing an entire two-hour session on ICT and problem
solving.
Three Key Ideas in this 2-Hour
Session
- Problem Solving, Critical Thinking, and Higher-Order
Knowledge and Skills are part of every subject taught in
school, and at every grade level. When we say Problem
Solving during this presentation, we mean the full
range of solving problems, accomplishing tasks, critical
thinking, higher-order thinking, posing and solving hard
problems, and so on.
- Information and Communication Technology (ICT) is now
a useful aid to problem solving in every subject area.
Our education system needs to help students gain
knowledge and skill in making effective use of ICT both
as an aid to problem solving and as a source of new
problems within the various non-ICT disciplines. ICT is
an aid to the key idea of "revise, revise, revise) that
is useful if writing, composing music, working in the
graphic arts, and in doing almost any other project that
takes place over a period of time.
- We want to help our students increase their level of
expertise in many different disciplines.
Examples of Problems in the Various Disciplines
Ask for volunteers to briefly state the kinds of problems
and/or the kinds of tasks that a student learns to deal with
in each of the following areas:
- Language Arts
- Math
- Science
- Social Science
- An "Other Discipline"
The goal is to help make it more clear that each
discipline includes a focus on Critical Thinking and Problem
Solving--on higher-order knowledge and skills. Each
discipline has a "higher-order" component and study of the
discipline is oriented toward students moving into this
higher-order realm.
Research in problem solving tells us:
- There are some aspects of problem solving that cut
across many different disciplines.
- There are other aspects of problem solving that are
highly discipline specific.
- Each discipline has lower-order and higher knowledge
and skills. While rote memorization of facts and
information is one aspect of getting better at problem
solving, no amount of such memorization can make you good
at problem solving within a discipline.
Activity
In your small group, think about the emphasis on
lower-order knowledge and skills versus the emphasis on
higher-order knowledge and skills in the curriculum and
assessment. Discuss:
- Roughly what percentage of student learning time and
effort focused on lower-order knowledge and skills at the
elementary school level (grades K-5) and at the secondary
school level (grades 6-12)?
- Are there significant differences among the different
disciplines, in terms of the teaching emphasis on
lower-order versus higher-order knowledge and
skills?
At the current time, the following beam balance scale
represents our educational system's treatment of lower-order
and higher-order knowledge and skills.
Beam balance of lower-order versus higher-order
knowledge and skills. Lower-order is the more heavily
emphasized side.

Information Retrieval Using the Web
This section requires good Web access. If that is not
available, skip this section.
The Web can be thought of as being a Global Library.
Problem: How do you find what you want to find when faced by
such a huge library?
Example: Suppose that you wanted to know more about me
(Dave Moursund).
Answer: Use a search engine such as Google.
Lets try the search word Moursund. Then try David Moursund.
then try "David Moursund"
Example: Now, suppose that you want to know where I went
to college as an undergraduate. How do you find information?
How about using Google and the search phrase
- Where did David Moursund do his undergraduate college
work?
This doesn't work very well. But it would work really
well if you were talking to a person who knew the answer.
There is a difference between retrieving information from a
book, from a computer, and from a person.
You might try: using a phrase in the search.
- "David Moursund" resume
- "David Moursund" vita
Conclusion: Even in this simple task we see that there is
quite a bit to learn in dealing with the problem of finding
information. It takes a lot of education and practice to be
good at solving information retrieval problems.
Activity
Information retrieval is a very important problem
area--part of education in every discipline at every grade
level. How do we educate students in this discipline? In
discussing the topic of information retrieval, include a
focus on:
- To what extent is information retrieval domain
specific, and to what extent can we help students gain
information retrieval knowledge and skills that cut
across most disciplines?
- How do computers and other ICT affect the information
retrieval? (For example, can students gain a higher level
of knowledge and skill at a lower grade level, as
compared with "traditional" methods of retrieving
information such as from hard copy books?)
The Overall Problem of Information Storage and
Retrieval
Information storage and retrieval--along with information
overload and rapid growth in the totality of human
knowledge--is a major problem. This section helps to
emphasize that "problem" is not just a math problem.
- What are the various "media" used to store
information? Examples include materials, people,
photographs, audio tape, video tape, electronic media,
hand tools, power tools, machines, paintings, statues,
and other artifacts. In addition, there is much
information stored in our environment, in "nature."
- For each storage medium, what are aids to retrieving
information that is in that storage medium?
- For each storage medium, what do we want students to
learn about storing information? For example, we want
student to learn to write. Do we want them to learn to do
still and video photography? Do we want them to learn to
make tools? Do we want them to learn to develop
hypermedia documents such a Web pages?
- It is clear that the computer has added new storage
media and new aids to retrieving information. Does this
allow us to drop anything from the information retrieval
curriculum?
Activity
Carry on a discussion on the idea of helping students
learn how to:
- Retrieve information from a variety of storage
sources, deciding which sources and which information is
valid and useful in a particular problem-solving
situation. Note that each teacher is responsible for this
within the disciplines they teach.
- "Write" (that is, develop) hypermedia documents. If
you support this idea, who should teach it, and when?
What should be dropped from the curriculum to make room
for this new Language Arts topic?
Problems and Problem Solving
What is a problem?
The term "problem solving"
includes:
- posing, clarifying, and answering questions
- posing, clarifying, and solving problems
- posing, clarifying, and accomplishing tasks
- posing, clarifying, and making decisions
- using higher-order, critical, and wise thinking to do
all of the above
You (personally) have a problem if the following four
conditions are satisfied:
- You have a clearly defined given initial
situation.
- You have a clearly defined goal (a desired end
situation). (Some writers talk about having multiple
goals in a problem. However, such a multiple goal
situation can be broken down into a number of single goal
problems.)
- You have a clearly defined set of resources that may
be applicable in helping you move from the given initial
situation to the desired goal situation. There may be
specified limitations on resources, such as rules,
regulations, and guidelines for what you are allowed to
do in attempting to solve a particular problem.
- You have some ownership--you are committed to using
some of your own resources, such as your knowledge,
skills, and energies, to achieve the desired final
goal.
Important point: Most of the things that we call problems
actually do not satisfy the definition given above. If one
or ore of the components are not satisfied, we call this a
"problem situation." An important aspect of attempting to
resolve a problem situation is to first get the problem
situation clearly stated (clearly defined) as a problem.
Activity
Within your groups, discuss what new types of problems or
areas of study are added by computer technology, and what
aids to problem solving are provided by computer technology.
Each person is to discuss this from the point of view of the
discipline they are representing in their group. Example: in
Language Arts, we now have the problem of helping students
learn to read and write interactive hypermedia that includes
text, color, sound, still and motion graphics, and pictures,
and video.
Expertise in a Discipline
What do we mean when we say that a person has a high
level of expertise--a high level of knowledge and
skills--within a particular area?
If the person is a young student, we might compare the
student to other young students. If the person is older, we
might compare the person to other equally old people.
In any case, we can look at an Expertise Scale, where the
comparison is made within a specified group.
Moving up the Expertise Scale involves :
- Gaining increasing knowledge and skills in the
lower-order aspects of the discipline.
- Gaining increasing knowledge and skills in the
higher-order aspects of the discipline.
- Gaining in fluency, experience, quality of
performance, etc.
- Gaining increased knowledge and skills in using the
tools of the discipline.
- Gaining increased understanding of the goals of the
discipline, what has been accomplished, what constitutes
high standards, and so on.
Problem: What are Efficient and Effective Ways
to Increase in Expertise?
Think of the problem or task of gaining increased
expertise in a discipline. For each discipline where we are
thinking about an Expertise Scale, we can ask several key
questions:
- To what extent are computers and other aspects of ICT
now an actual part of the discipline?
- To what extent can computers and other ICT help in
the process of gaining increased expertise in the
discipline?
- To what extent have computers and other ICT helped
make some of the discipline content that we used to call
"higher-order" into less high-order, or even
lower-order?
- How is the teaching of the discipline affected by an
increasing ability of computers (perhaps artificially
intelligent computers) to solve many of the problems and
accomplish many of the tasks in the
discipline?
Small Group Discussion
Each discipline has its "traditional" tools that its
practitioners use. In each discipline, Information and
Communication Technology provides a new set of tools. Share
your thoughts on the extent to which we should be teaching
students to make effective use of the new tools, even if
this means that students will gain less skill in using the
older, "traditional" tools.
Strategies Useful in Problem Solving
A strategy is a plan of action, a general approach to
attempting to solve a problem or accomplish a task. Research
tells us:
- Many strategies are domain specific.
- There are relatively few strategies that cut across
most domains.
- Students do not know very many domain-specific
strategies.
- Students do not know many strategies that cut across
a number of domains.
- Education is improved by helping students learn more
strategies and gain skill in their use.
Whole Group Discussion
Name some domain-specific and some general-purpose
strategies for problem solving.
Strategy: Break A Big Hard Problem into a
Collection of Smaller, More Manageable
Problems
The goal is to arrive at a collection of smaller, easier
problems that you can solve. Using this strategy we can help
a student get better at problem solving by:
- Helping students to gain a useful-sized repertoire of
smaller problems that they are skilled at solving.
- Helping students learn how to break big problems into
smaller problems, solve the smaller problems, and then
assemble the pieces.
- Helping students learn to make use of the huge number
of smaller problems that a computer can solve quickly and
accurately.
Strategy: Don't Reinvent the Wheel (Make Use of
Information Retrieval)
- For a large and steadily increasing number of
problems, one can "look up" information about how to
solve the problem.
Strategy: Avoid Doing Highly Repetitive Tasks By
Hand
- For quite a few problems, a computer can store both
information about how to solve the problem and can
actually solve the problem.
- Computers tend to be much faster, more accurate, and
more precise than humans at doing repetitive tasks.
Whole Group Discussion
If a computer can solve (or, substantially help in
solving) a type of problem that we currently teach students
to solve without the use of a computer, how should this
affect the curriculum and assessment on this topic?
Closure: Any Final Questions
Added References
In my writings about problem solving, I repeatedly indicate that one of the most importatn ideas in problem solving is building on the previous work of oneself and others. A human brain (unless significantly damages) is naturally curious, has a considerable ability to learn, is creative, and is a problem solver. A baby, as it grows to adulthood and beyond, gets petter at problem solving through:
- Learning in its environment. I need to say this more carefully. A person's environment can be divided into significant pieces. For a very yung child, the environment is the home or equivalent. This has certain people, culture, artifacts, types of food, and so on. The home environment is eventually supplemented by the environment of the neighborhood, community, religious institutions, and so on. Later it may be supplemented by nursery school and other preschool settings, then the K-12 setting, and so on.
- The artifacts in one's environment serve a variety of purposes. Think about them in terms of being aids to solving various categories of problems. Needs for safety, food, clothing, and shelter can be thought of as problems; people have developed many different tools (in a broad sense) to help in dealing with these problems.
- The human mind and body have limitations. We have developed physical and mental tools to help overcome some of these limitations and to extend physical and mental capabilities. These vary tremendously in how much time and effort is required to learn to make effective use of the tools, how useful they are, what they cost, their needed care and upkeep, and so on. For example, consider a pair of shoes with shoestrings. In most parts of the world ishoes (footware) are a useful aid to human feet. It is somewhat of a challenge for a young child to learn to deal with shoeswalking in shoes, keeping them on, taking them off, finding them, learning to tie shoes, caring for shoes, selecting the "right" shoes to wear with the rest of one's clothing or for a particular purpose, and so on.
- A "milestone" in the tool business was the development of written notation for verbal language. The time and effort to learn to make effective use of reading, writing, and arithmetic is large. Also, this tends to be a delayed gratification situation. I suppose that I can make up examples of informal and apprenticeship types of education prior to that time where it took many years of learing effort to achieve a useful level of knowledge and skills. However, in some sense the reading, writing, and arithmetic were different. Also, in thinking about this, keep in mind the Thomas Jefferson idea of wanting to provide free educaiotn, up through the third grade, for children. I believe he had in mind that three years of grammar school could teach the necessary rudiments of reading, writing, and arithmetic to meet the neads of a typical youngster who would eventually be an adult citizen.
- Note our increasing understanding of the plasticity of the human brain and how this is involved in the learning process. See "Why Practice Makes Perfect (2000) by Anne Pycha. Retrieved 12/17/06: http://www.brainconnection.com/topics/?main=fa/practice. Quoting from the article:
Not long ago, many neuroscientists believed that the connections among neurons firmly established themselves within the first few weeks of life, and that cortical maps were fixed and unchangeable. Cervella sighs when she hears this: "Well, not long ago, even the best mapmakers never dreamed they'd have to draw a unified Berlin." But times have changed. Thanks to twenty years of research, we now know that the brain is plastic: it can and does remodel itself, sometimes within a remarkably short period of time.
Adult rats and monkeys have provided some of the most concrete evidence of brain plasticity. Rats, for example, are heavily reliant on their whiskers to send sensory information to the brain. When a rat learns to use his whiskers to discriminate the roughness of different surfaces (is it a sewer grate? is it a banana peel?), the cortical map of the whiskers can change within a matter of hours. Similarly, the cortical maps in a monkey's brain can expand within a matter of days as the monkey learns a new task, such as picking up a tiny ball, discriminating between sounds of different frequencies, or tracking a moving object with her eyes.
What is the Big6? Accessed 11/08/05: http://www.big6.com/showarticle.php?id=415
"Data collected from thousands of students showed that students who were taught informative nonfiction using the Big6 approach with a combination of analytical, creative, and practical activities, outperformed students who were taught two alternative apporaches (see materials at: www.yale.edu/pace)." -- Linda Jarvin, Ph.D., Associate Director, PACE Center, Yale University
The Big6 is an information literacy model. Some people call it a metacognitive scaffold, or an information problem solving strategy. When you apply these stages, you have an essential framework to approach any information-based question. Here are the six stages we call the BIG6. Two sub-stages are part of each main category in the Big6 model:
1. Task Definition
1.1 Define the information problem
1.2 Identify information needed
2. Information Seeking Strategies
2.1 Determine all possible sources
2.2 Select the best sources
3. Location and Access
3.1 Locate sources (intellectually and physically)
3.2 Find information within sources
4. Use of Information
4.1 Engage (e.g., read, hear, view, touch)
4.2 Extract relevant information
5. Synthesis
5.1 Organize from multiple sources
5.2 Present the information
6. Evaluation
6.1 Judge the product (effectiveness)
6.2 Judge the process (efficiency)
People go through these Big6 stagesconsciously or notwhen they seek or apply information to solve a problem or make a decision. Its not necessary to complete these stages in a linear order, and a given stage doesnt have to take a lot of time. We have found that in almost all successful problem-solving situations, all stages are addressed.
TRIZ (n.d.). The TRIZ Juornal. Retrieved 10/10/06: http://www.triz-journal.com/. Quoting from the Website:
"TIPS" is the acronym for "Theory of Inventive Problem Solving," and "TRIZ" is the acronym for the same phrase in Russian. TRIZ was developed by Genrich Altshuller and his colleagues in the former USSR starting in 1946, and is now being developed and practiced throughout the world.
TRIZ research began with the hypothesis that there are universal principles of invention that are the basis for creative innovations that advance technology, and that if these principles could be identified and codified, they could be taught to people to make the process of invention more predictable. The research has proceeded in several stages over the last 50 years. Over 2 million patents have been examined, classified by level of inventiveness, and analyzed to look for principles of innovation. The three primary findings of this research are as follows:
- Problems and solutions were repeated across industries and sciences
- Patterns of technical evolution were repeated across industries and sciences
- Innovations used scientific effects outside the field where they were developed
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