Curriculum
Curriculum & Methods
The REAL Classes use an advanced content curriculum which has no “ceiling” for the students. Students will work individually, in pairs, and in small groups advancing their skills across the subject areas. For example, in math, each student will be guided at their own pace, learning specific skills and calculation methods. If a 5th grader can rise to meet the challenges of elementary algebra, there is nothing to stop them from going on to learn the quadratic equation and beyond. Group work in math, on the other hand, will center on creative problem solving methods and techniques that require clear guidance and rigorous direct instruction. In general, students will learn skills at their own pace in individual or very small group settings. Larger group instruction will aim at applying these skills to problem-solving situations.
So there is no “5th grade math curriculum” versus a “6th grade math curriculum”. There is instead a broad scope and sequence of skills that are usually learned in 5th grade through 12th grade. Students will master as much of this content as they can according to their abilities. But they are not learning these skills just to learn skills. They will be using the skills to solve higher-level problems. Calculations are what calculators do. Any mathematically educated student should know how to do what the calculator does, but REAL mathematics is problem-solving, finding hidden patterns and structure, and celebrating our capacity for abstraction. Calculators don’t press their own buttons. Mathematicians press those buttons in a meaningful way to explore possibilities. The students in REAL classes will certainly learn how to do the various calculations (from bisecting an angle to simplifying complex fractions) but, more importantly, they will use those skills as tools in higher level problem-solving. Higher level critical thinking skills will be promoted across the curriculum.
The paragraphs above may be rewritten regarding science, language, or history instead of mathematics. The REAL Classes provide rigorous instruction of skills alongside open-ended inquiry.
Students will be learning content in the context of the bigger picture of history. Studying the history of mathematics, science, literature, and even the history of history, gives a frame of human intellectual accomplishment to specific ideas and skills. Studying the major mathematicians, scientists, writers, and historical figures will give the students an introduction to what has been called The Great Conversation—where intellectuals down through the ages have added their fresh ideas to the advances made by those who came before them. The REAL Class curriculum starts with the “big ideas” in any subject and invites students to understand aspects of The Great Conversation and eventually participate in it!
The mornings will be devoted to math, language, science, and history. The afternoons are for the arts. Art production will focus on drawing and watercolors, but there will be exposure to the other media. Art history and particular artists will be studied in a direct fashion. Music theory will complement a survey of exposure to the various genres of music, as well as its history. Students will be able to compose and produce their own compositions using MIDI technology and any traditional instruments they may already be learning on their own. Digital film editing, drama events, and student selected independent projects will incorporate skills from across the curriculum.
Further, the REAL Class curriculum will loosely incorporate five themes, or narratives, proposed by Neil Postman in his 1995 book The End of Education. In this book, he uses the term “narrative” to describe ideas that provide people with a sense of personal identity, a sense of community life, and a basis for moral conduct. Humans need some sort of narrative to bundle experience, to help give meaning to life, to education. “Our genius,” Postman writes, “lies in our capacity to make meaning through the creation of narratives that give point to our labors, exalt our history, elucidate the present, and give direction to our future.” (p. 7)
After exploring some modern narratives which he feels aren’t useful—he calls them the “false gods” of technology, consumership, etc.—Mr. Postman offers up five narratives which are the basis of the REAL Class curriculum: The Spaceship Earth, The Fallen Angel, The American Experiment, The Law of Diversity, and The Word Weavers/The World Makers (which the REAL class calls The Symbol Makers).
Following are summaries of each narrative and examples of some related inquiries. These summaries are largely excerpted from the book “The End of Education”.
Spaceship Earth: The story of human beings as stewards of the Earth, caretakers of a vulnerable space capsule. This is a recent narrative and one not fully developed, but it has the power to bind people. It makes the idea of racism both irrelevant and ridiculous. It makes clear the interdependence of human beings and their need for solidarity. From both a metaphorical and literal point of view the Earth is a spaceship and we are its crew members. Subjects which will be studied in this narrative include:
- Literature, especially science fiction, utopias, dystopias, modern poetry, etc.
- Creative writing, especially short stories and poetry.
- Current affairs, both local and global environmental issues and debates, are used as a base to research the role of politics, science, and individual action in our role as stewards of the Earth.
- Geography and the history of conflict and conflict resolution.
- Archeology and anthropology, as a base to explore various cultural values and the all-too-common distrust, ignorance and intolerance of cultures unlike one’s own.
- Astronomy, especially the human story of its history and how it influences our Spaceship Earth narrative.
- Local conservation projects.
The Fallen Angel: The story of human beings as mistake makers, and mistake correctors. According to some, there may have been a time when human beings were perfect or god-like, but at some point, for various reasons, their powers were diminished so that they must live forever in a state of imperfect understanding. Indeed, for us to believe that we are perfect, is among the most serious errors of which we are capable. The Greeks called it “hubris”. Some religions call it “pride”. Scientists call it “dogmatism”. The major theme of this narrative is that we make mistakes. All the time. It is our nature to make mistakes. That we may be mistaken, and probably are, is the meaning of the “fall” in the fallen angel. The meaning of “angel” is that we are capable of correcting our mistakes, provided we proceed without hubris, pride, or dogmatism; provided we accept our cosmic status as an error-prone species. Therein lies the possibility of our redemption: knowing that we do not know and cannot know the whole truth, we may move toward it inch by inch by discarding what we know to be false. And then watch the truth move further and further away. It’s a sad story, but also a noble and funny one. Subjects of inquiry include:
- Historical emphasis to most introduced subjects, esp. science and mathematics.
- Rhetoric and logic in language, especially opinion as fact, propaganda, advertising, etc.
- Creative problem solving in mathematics
- Error of measurement in science and mathematics.
- Study of current and past Supreme Court decisions.
- Current breakthroughs in science and the ideas/theories they displace.
- Entry level computer programming languages and routines.
- Logic in mathematics, especially detection of errors in algorithms concerning fractions, decimals, integers, etc.
- Nonfiction writing, especially descriptive and technical writing.
The American Experiment: The story of America as an experiment, a perpetual and fascinating question mark. The story includes the experience of those who lived here before the colonial invasion, and of those who came later. The story properly begins with a series of stunning and dangerous questions: Is it possible to have a government of the people, by the people, and for the people? Who are the people, anyway? And how shall they proceed in governing themselves? And how shall we protect individuals from the power of the people? And why should we do all this in the first place? Can a nation be formed, maintained, and preserved on the principle of continuous argumentation? In other words, the American constitution is not a catechism, but a hypothesis. Inquiries include:
- Constitutional study, especially focusing on 1] the Bill of Rights and current debates involving them, and 2] the structure of government.
- Current affairs, especially those relating to problems in democracy (immigration, education, freedom and rights, etc.).
- Comparative governing systems, both modern political systems and historic and prehistoric ones.
- Study of current and past Supreme Court decisions.
- Debating skills.
- Rhetoric and logic in language, especially politics and law.
- Historical fiction.
- Essay writing.
The Law of Diversity. The story of how diversity works to provide an enriched sense of excellence. Too much sameness is the enemy of vitality and creativity. Stagnation occurs when nothing new comes from the outside. Diversity as a dynamic principle runs through nearly every area of human endeavor. A respect for, and understanding of, diversity can lead to tolerance on many levels. Indeed, we often learn more about the “rule” by the “exceptions” than through textbook renderings. Some inquiries include:
- Study of the origin of English words.
- The USA as a “melting pot”. The Big Island as “melting pot”.
- Evolution and genetics.
- Second law of thermodynamics and chaos theory.
- Current events, especially national and international news which appears bizarre to our culture.
- Anthropology, esp. variation of customs and norms.
- Sociology, esp. variation of customs and norms.
- The variety of religious beliefs.
- Exploration of diversity on various art forms, especially poetry, visual arts, music, and primitive art.
- Exploration of vocational diversity and opportunity, including guest speakers and job shadowing.
The Symbol Makers: The great story of how humans use language and symbols to transform the world, and then, in turn, are transformed by their own invention. Human use of language begins with the spoken word and continues with writing systems, the printing press, telegraphy, photography, radio, movies, television, and computers —each of which transformed the world, sliced it framed it, enlarged it, diminished it. Humans are far more than tool users. They are symbol manipulators, word weavers, and world makers. This is what makes us smart or ignorant; moral or immoral; tolerant or bigoted. It is the root of our humanity and our inhumanity. Inquiries include:
- Metaphors as vehicles of understanding in math, science, social studies, and, of course, language.
- The study and art of question-asking.
- Exploration of the nature of definitions.
- Exploration of Korzybski’s theory of abstractions called “general semantics” , a study of the relationship between maps (symbolic representations) and the territory they try to represent (reality).
- Exploration of mathematics as the language of science, and as an aesthetic in its own right.
- Poetry, especially student writing and biographical study of some poets.
- Technology education as a humanity, especially the history and impact of various symbolic technologies.
- Use of a variety of research methods, including interviewing, library resources, and the Internet.
- Study of how “truth” changes through historical approaches and reference comparison using outdated and recent encyclopedias, almanacs, etc.
These narratives will be explored using a variety of methodologies, including traditional direct instruction, community outreach projects, guided independent study, cooperative group work, individual projects, projects in partnership, group projects, guest speakers, and discussion discussion discussion.
In a sense, the narratives overlay the more traditional skills content curriculum, which students will be able to master according to their individual potential.
Copies of Mr. Postman’s book are available from Hawaii Public Libraries and various booksellers. (Read the customer reviews at Amazon.com.)
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