Preface 1977
"Chomsky in his recent Reflections on Language speculates that there may be certain natural, even 'innate' ways of organizing knowledge, which are possibly more powerful in treating the realm of 'things' than in dealing with the domain of people and their acts and intentions." p.ix
"One starts somewhere-where the learner *is*. And one starts *whenever* the student arrives to begin his career as a learner. It was in this spirit that I proposed that 'any subject could be taught to any child at any age in some form that is honest.' " p.ix
"There is a vast amount of skilled activity required of a 'teacher' to get a learner to discover on his own-scaffolding the task in a way that assures that only those parts of the task within the child's reach are left unresolved, and knowing what elements of a solution the child will recognized though the cannon yet perform them." p.xiv
CHAPTER 1-Introduction
"It is interesting that around the turn of the last century the conception of the learning process as depicted by psychology gradually shifted away from an emphasis upon the production of general understanding to an emphasis on the acquisition of specific skills." p.5
"Virtually all of the evidence of the last two decades on the nature of learning and transfer has indicated that, while the original theory of formal discipline was poorly stated in terms of the training of faculties, it is indeed a fact that massive general transfer can be achieved by appropriate learning, even to the degree that learning properly under optimum conditions leads on to 'learn how to learn.'" "Interest in curricular problems at large has, in consequence, been rekindled among psychologists concerned with the learning process." p.6
"Whether the student knows the formal names of operations is less important for transfer than whether he is able to use them." [using EP to exemplify interdisciplinary nature of content areas (method+subject)] p.8
Theme 1: The role of structure in learning and how it may be made central in teaching.
"How can this exposure be made to count in their thinking for the rest of their lives?" p.11
"The teaching and learning of structure, rather than simply the mastery of facts and techniques, is at the center of the classic problem of transfer. There are many things that go into learning of this kind, not the least of which are supporting habits and skills that make possible the active use of the materials on has come to understand. If earlier learning is to render later learning easier, it must do so by providing a general picture in terms of which the relations between things encountered earlier and later are made as clear as possible.
"Given the importance of this theme, much too little is known about how to teach fundamental structure effectively or how to provide learning conditions that foster it." p.12
Theme 2: The readiness for learning.
"Fourth-grade children can play absorbing games governed by the principles of topology and set theory, even discovering new 'moves' or theorems. They can grasp the idea of tragedy and the basic human plights represented in myth. But they cannot put these ideas into formal language or manipulate them as grownups can. There is much still to be learned about the 'spiral curriculum' that turns back on itself at higher levels."p.13
Theme 3: The nature of intuition.
"The shrewd guess, the fertile hypothesis, the courageous leap to a tentative conclusion-these are the most valuable coin of the thinker at work, whatever his line of work. Can school children be led to master this gift?" [learning EP construction]
"The three themes mentioned so far are all premised on a central conviction: that intellectual activity anywhere is the same, whether at the frontier of knowledge or in a third-grade classroom...The difference in in degree, not in kind. The schoolboy learning physics is a physicist, and it is easier for him to learn physics behaving like a physicist than doing something else." p.14
Theme 4: The desire to learn and how it may be stimulated.
"Ideally, interest in the material to be learned is the best stimulus to learning, rather than external goals such as grades or later competitive advantage." p.14
CHAPTER 2-The Importance of Structure
"Learning should not only take us somewhere; it should allow us later to go further more easily."
We transfer training with application of learned skills, and we transfer principles and attitudes with application of general learned ideas.
"How to construct curricula that can be taught by ordinary teachers to ordinary students and that at the same time reflects clearly the basic or underlying principles of various fields if inquiry. The problem is twofold: first, how to have the basic subjects rewritten and their teaching materials revamped in such a way that the pervading and powerful ideas and attitudes relating to them are given a central role; second, how to match the levels of these materials to the capacities of students of different abilities at different grades in school." p.18 [EP!!!]
"How do we tailor fundamental knowledge to the interests and capacities of children?" p.22
"It is the consensus of virtually all the men and women who have been working on curriculum projects that making material interesting is in no way incompatible with presenting it soundly; indeed, a correct general explanation is often the most interesting of all." p.23
*understanding fundamentals makes a subject more comprehensible
*understanding fundamentals helps memory: unless detail is placed into structured patterns, it is rapidly forgotten
*understanding fundamental principles ...is the main road to adequate 'transfer of training'
* The fourth claim for emphasis on structure and principles in teaching is that by constantly reexamining material taught in elementary and secondary schools for its fundamental character, one is able to narrow the gap between 'advanced' and 'elementary' knowledge.
"The attitude that things are connected and not isolated is a case in point." p.27
"There is a continuity between what a scholar does on the forefront of his discipline and what a child does in approaching it for the first time." p.28
"What is more to the point is to ask what methods of exercise in any given field are most likely to give the student a sense of intelligent mastery over the material." p.30
"The curriculum of a subject should be determined by the most fundamental understanding that can be achieved of the underlying principles that give structure to a subject...
***The best way to create interest in a subject is to render it worth knowing, which means to make the knowledge gained usable in one's thinking beyond the situation in which the learning has occurred." p.31
CHAPTER 3-Readiness for Learning
"The process of intellectual development is the act of learning." p.33
A. Intellectual development.
"While the child is in the stage of concrete operations, he is capable of grasping intuitively and concretely a great many of the basic ideas of mathematics, the sciences, the humanities, and the social sciences. But he can do so only in terms of concrete operations.
"They will flounder, however, if on attempts to force upon them a formal mathematical description of what they have been doing.
"What is most important for teaching basic concepts is that the child be helped to pass progressively from concrete thinking to the utilization of more conceptually adequate modes of thought. But it is futile to attempt this by presenting formal explanations based on a logic that is distant from the child's manner of thinking." p.38
"Intellectual development of the child is no clockwork sequence of events; it responds to influences from the environment, notably the school environment." p.39
"It may be that nothing is intrinsically difficult. We just have to wait until the proper point of view and corresponding language for presenting it are revealed...One leads the child by the well-wrought 'medium questions' to move more rapidly through the stages of intellectual development, to a deeper understanding of mathematical, physical, and historical principles. We must know far more about the ways in which this can be done." p.40 ************
B. The act of learning.
1. acquisition: refinement of previous knowledge
2. transformation: the way we deal with information in order to go beyond it
3. evaluation: checking whether the way we have manipulated information is adequate to the task
"If it is our intention as teacher to inure the child to longer and longer episodes of learning, it may well be that intrinsic rewards in the form of quickened awareness and understanding will have to be emphasized far more in the detailed design of curricula. On of the least discussed ways of carrying a student through a hard unit of material is to challenge him with a chance to exercise his full powers, so that he may discover the pleasure of full and effective functioning." p.50
C. The spiral curriculum.
"If one respects the ways of thought of the growing child, if one is courteous enough to translate material into his logical forms and challenging enough to tempt him to advance, then it is possible to introduce him at an early age to the ideas and styles that in later life make an educated man. We might ask, as a criterion for any subject taught in primary school, whether, when fully developed, it is worth an adult's knowing, and whether having known it as a child makes a person a better adult. If the answer to both questions is negative or ambiguous, then the material is cluttering the curriculum." p.52
CHAPTER 4-Intuitive and Analytic Thinking
"A careful examination of the nature of intuitive thinking might be of great aid to those charged with curriculum construction and teaching." p.55
"Little systematic knowledge is available about the nature of intuitive thinking or the variables that influence it. What seems most appropriate at this point, therefore, is an attempt to outline the kinds of research which, if even only partially carried out, would begin to provide information useful to those concerned with the improvement of particular course or, more generally, of the curriculum as a whole. What kinds of questions do we need the answers to?" p.57
"The intuitive thinker may even invent or discover problems that the analyst would not. But it may be the analyst who gives these problems the proper formalism." p.58
"For a working definition of intuition, we do well to begin with Webster: 'immediate apprehension or cognition.' p.60 [without 'media']
"Individuals who have extensive familiarity with a subject appear more often to leap intuitively into a decision or to a solution of a problem-one which later proves to be appropriate." p.62
"It seems likely that effective intuitive thinking is fostered by the development of self-confidence and courage in the student. A person who thinks intuitively may often achieve correct solutions, but he may also be proved wrong when he checks or when others check on him. Such thinking, therefore, requires a willingness to make honest mistakes in the effort to solve problems." p.65 [trust+GM]
"The idea of rewards and punishments as seen by pupils in school actually tends to inhibit the use of intuitive thinking...what would happen to the development of intuitive thinking if different bases for grading were employed." p.66
"It becomes more important to nurture confident intuition in the realm of literature and the arts. Yet one finds a virtual vacuum of research on this topic in educational literature." p.67
"It requires a sensitive teacher to distinguish an intuitive mistake-an interestingly wrong leap-from a stupid or ignorant mistake, and it requires a teacher who can give approval and correction simultaneously to the intuitive student...
"Along with any program for developing methods of cultivating and measuring the occurrence of intuitive thinking, there must go some practical consideration of the classroom problems and the limitations on our capacity for encouraging such skills in our students." p.68
CHAPTER 5-Motives for Learning
"The quest is to devise materials that will challenge the superior student while not destroying the confidence and will-to-learn of those who are less fortunate. We have no illusions about the difficulty of such a course, yet it is the only one open to us if we are to pursue excellence and at the same time honor the diversity of talents we must educate." p.70
"Perhaps it is in the technique of arousing attention in school that first steps can be taken to establish that active autonomy of attention that is the antithesis of the spectator's passivity." P.72 [EP!]
"What this amounts to is developing in the child an interest in what he is learning, and with it an appropriate set of attitudes and values about intellectual activity generally." p.73
"Modes for learning must be kept from going passive in an age of spectatorship, they must be based as much as possible upon the arousal of interest in what there is to be learned, and they must be kept broad and diverse in expression." p.80
CHAPTER 6-Aids to Teaching
A. Devices for various experience.
B. Helping the student grasp the underlying structure of a phenomenon. [EP as a model of cognition.]
C. Dramatic devices.
D. Automatizing devices.
"A teacher who will not or cannot give play to his own intuitiveness is not likely to be effective in encouraging intuition in his students. To be so insecure that he dares not be caught in a mistake does not make a teacher likely model of daring. If the teacher will not risk a shaky hypothesis, why should the student?
The effect would be to free the teacher for teaching and study. If the teacher is also learning, teaching takes on a new quality." p.90