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Early childhood. The foundation for reading success is formed long before a child reaches first grade. Parents, care providers, and other community members should give children a strong base of cognitive skills related to print, background knowledge, and a love of books starting at infancy By the end of kindergarten…
Language skills At entry to first grade, students will need to have had a broad array of language experiences. Oral language, vocabulary, and other language concepts are crucial foundations for success in reading, especially reading comprehension. In particular, children need to be able to use language to describe…
The theory is that numbers are self-organized around the smallest, most highly composite number, 12. The number 12 and many of its multiples (24, 36, 48, 60, etc.) are HCNs: highly composite numbers (with lots of divisors), which are extremely useful for measuring and proportions. Why are there 12 eggs in a carton, 12…
This is appropriate for 4th or 5th graders and involves finding the smallest number divisible by 2, 3, 4, 5, 6, 9, and 10. Directions: Teach the students how to tell if a number is divisible by 2, 3, 4, 5, 6, 9, & 10. Give groups ofu00a0two tou00a0four students the divisibility rules on a sheet of paper, and challenge…
The children take turns rolling the dice, which are labeledu00a0zero 1s tou00a0five 1su00a0onu00a0the first die andu00a0zero 10s tou00a0five 10s on the second die. Afteru00a0a studentu00a0rolls theu00a0two dice, he takes theu00a0rodsu00a0and cubes representing the number of 10s and 1s he rolled and puts them on his…
Survey The first step, survey or skim, advises that one should resist the temptation to read the book and instead glance through a chapter in order to identify headings, sub-headings and other outstanding features in the text. This is in order to identify ideas and formulate questions about the content of the chapter…
Game-based learning is another great way to empower your students to engage with intellectual problems. They get to experience the fiero rush that comes with knowing that they successfully overcame a challenge. That’s right: game-based learning is different from gamification. Gamification is about making a non-game…
Mix up a batch of 50/50 water and glue, dissolve a spoonful of Borax in more water, then mix the whole mess together. (If you want real numbers, mix 1/4 c water with 1/4 glue & dissolve 1 tsp Borax in 1/8 c water, but really, you can be pretty slapdash about this.) As you knead it, the slime will quickly start…
Some simple ways to work numbers into the conversation: Note numbers on signs when you’re walking or driving with children: speed limits and exit numbers, building addresses, sale prices in store windows. Ask children to count how many toys they’re playing with, how many books they’ve pulled out to read, or how many…
“Mathematics is not just a sequence of computations to be carried out by rote until your patience or stamina runs out—although it might seem that way from what you’ve been taught in courses called mathematics. Those integrals are to mathematics as weight training and calisthenics are to soccer. If you want to play…
The real world just doesn’t offer up as easily the carefully designed pleasures, the thrilling challenges, and the powerful social bonding afforded by virtual environments. Reality doesn’t motivate us as effectively. Reality isn’t engineered to maximize our potential. Reality wasn’t designed from the bottom up to make…
Big ideas are typically revealed via: • Core concepts (migration, function) • Focusing themes (good vs. evil) • Ongoing debate/issues (nature vs. nurture) • Illuminating paradox/problem (freedom vs. responsibility) • Organizing theory/principle (less is more) • Underlying assumption/perspectives (Occam’s Razor) • Key…
Knowledge understanding The facts The meaning of the facts A body of coherent facts The “theory” that provides coherence and meaning to those facts Verifiable claims Fallible, in-process theories Rightor wrong A matter of degree or sophistication I know something to be true I understand why it is, what makes it…
Learning Activities: What learning experiences and instruction will enable students to achieve the desired results? How will the design W = Help the students know Where the unit is going and What is expected? Help the teacher know Where the students are coming from (prior knowledge, interests)? H = Hook all students…
To help educators start with the goal, rather than the learning activity, UbD employs a three-stage template. • Stage 1—Identify desired results: In the first stage, you consider your big ideas and learning goals and prioritize them. • Stage 2—Determine acceptable evidence: In the next stage, you “think like an…
...meaningful, transferable, and purposeful understanding: • Meaningful: The understanding is relevant to the students’ lives and needs. Students connect with the learning. • Transferable: The understanding fosters creative problem-solving and application. Students can apply their understanding to unique and out-of…
Mathematics is one of humanity’s great achievements. By enhancing the capabilities of the human mind, mathematics has facilitated the development of science, technology, engineering, business, and government. Mathematics is also an intellectual achievement of great sophistication and beauty that epitomizes the power…
Recognizing that no term captures completely all aspects of expertise, competence, knowledge, and facility in mathematics, we have chosen mathematical proficiency to capture what we think it means for anyone to learn mathematicssuccessfully. Mathematical proficiency, as we see it, has five strands: • conceptual…
Number is a rich, many-sided domain whose simplest forms are compre- hended by very young children and whose far reaches are still being explored by mathematicians. Proficiency with numbers and numerical operations is an important foundation for further education in mathematics and in fields that use mathematics…
One of the most powerful writing/language arts components of the MPS Comprehensive Literacy Plan (CLP) is the robust use of mentor texts across all grade levels. A mentor text is a piece of writing (book, article, pamphlet, caption, etc.) used to exemplify a specific aspect of writers’ craft. Mentor texts are used…