Grammar
When we're talking about grammar with regard to the trivium, we aren't necessarily talking about the nuts and bolts of the language. The grammar stage is the beginning stage where students acquire not just words & numbers, but the classes of words and numbers, (adjectives, nouns, verbs, etc & whole numbers, integers, fractions, etc). The principles of language, vocabulary, & experience regarding the subject at hand. Don't forget, math is a language that describes reality numerically.
This is a good place to talk about etymology, where we learn about words and their origins. Eventually, they will be an entire page dedicated to etymology. My older son credits etymology and his study of it as the reason he did so well on the English portion of the GED. The equivalent in mathematics would basically be math history, learning about the men (and women) who gave their names to numbers and formulae. Avogadro's number for example, who was Avogadro? And what was he counting? What is Planck's constant?
It's a big blue square is one million how much is the red square? If the big blue square is ONE cut into 10,000 pieces one would be 1/10,000 or .0001. How much is the red square now?When the Montessorians are talking about the grammar stage, it's not just the classical definition that may come to mind where you think of rules about sentence structure and how to use commas and so on. They're also talking about the language in words that come with the subject or topic and also basic principles.
Sailing and boating, has its own vocabulary and "grammar". The front of the boat is fore, the back aft. The Portside in relation to this is the left side if you are facing fore ward, and is marked with a red light. The starboard side is the right side, and is marked with a green light. An easy way to remember: Port wine is red and "left" and "port" both have four letters.
When we are talking about grammar, we are talking about the names of things too, not just sentence structure or rules. Numbers have names. Mathematics has its own vocabulary and terms. There is a difference between words and terms. It is important to understand when we are talking about grammar in this sense it also includes vocabulary and we are talking about basic principles too.
Bruce Lipton uses a great analogy which can be applied here, grammar is like the download stage, logic is where we think about what we downloaded, rhetoric is where we express knowledge or ideas about the subject using the grammar and logic we have learned. Acquire information, think about information, express information. Learn basic principles, think about basic principles, express basic principles using logic and reasoning and grammar. Learn more on the trivium page.
noun
gram·mar ˈgra-mər
1a: the study of the classes of words, their inflections (see inflection sense 2), and their functions and relations in the sentence
1b: a study of what is to be preferred and what avoided in inflection (see inflection sense 2) and syntax (see syntax sense 1)
2a: the characteristic system of inflections (see inflection sense 2) and syntax of a language
2b: a system of rules that defines the grammatical structure of a language
3a: a grammar textbook
3b: speech or writing evaluated according to its conformity to grammatical rules
appalled at the bad grammar of college students
4: the principles or rules of an art, science, or technique
a grammar of the theater
also : a set of such *principles or rules
In this case it is the grammar of the mathematics or
the grammar of homeschooling
*Click for Principles PDF if you don't already have it.
Names Of Numbers
Here is a presentation to help you explain and experience numbers and their values as compared to one. What's the difference between hundred and thousand? if all you know is that 1000 has one more zero than 100 you are going to have a bad time, yet for many students their experience of numbers and exponents is limited to counting zeros. How could we visualize one ten thousandth? Use the big blue square and call it one. Or we could call the big blue square one million depending on what we are wanting to purvey.
Place value is almost taken for granted. Learning the names of things is the bottom rung of vertical alignment.PASSWORDS HAVE CHANGED.
Optional $37.50 renewal fee applies. If you have already paid a fee in the last year and a half the fee doesn't apply to you. As usual just email me for the new ones. You are now considered a member of the PMA. More on that to come.
Welcome ARCHAIX Click Here. link not built yet.
Turn Archaix into a nine digit number using letter number code, put Capital A where the ones go: AA8******and there is the password, or just email me. Special offer and video explanation.
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i have made lots of page changes and it took (a lot) longer than i thought. Hours of instruction and example lessons have been added. New "courses" have been added. New PDFs too!|New look behind paywalls so be sure to refresh pages even if you were just there. Check out the new fractions page! Includes video making understanding ratios easy. And a new section is being added with the trivium includes FREE Montessori Training by Maria herself. And oddly enough information leading to f i v e star passports and more will eventually be part of this website.
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And pardon me: for those of you that can't do math, the November 2020 election was absolutely stolen. Very basic math. Trump won in a landslide, so did a lot of others...this is why YOU need math. This will be proven beyond a shadow of a doubt in 2025. And here we are.
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Depending on experience, math can be fun or traumatizing. Your job is to make it fun. Simple usually makes it fun but make no mistake: simple is magical and powerful. There are but five basic concepts.🏛️ University-Affiliated Grammar & Writing Courses (Free & Online)🏛️
University of California, Irvine
Grammar and Punctuation
Learn English: Beginning Grammar
Learn English: Intermediate Grammar
Learn English: Advanced Grammar and Punctuation
Academic English: Writing
Course 1: Grammar and Punctuation Do you need to review English grammar? Have you forgotten the grammar you once studied? If so, this course is perfect for you.
These courses are part of the Academic English: Writing specialization, which will help prepare you for studying in an American college or university.
University Of Queensland
English Grammar and Style An 8-week course focusing on grammar, writing in standard English, and the importance of grammar in effective communication. Introduces you to some marvelous resources that they have annotated for your guidance.
Shows you video clips of interviews conducted with distinguished grammarians, challenges you with quizzes and writing activities that will give you strategies to help you to build skills that will enhance the quality of your writing, and invite you to participate in discussions and assess the work of your peers.
For $129 you can get a certificate... Or you can audit for free.
Rice University English and Academic Preparation
Pre-Collegiate, perfect for homeschoolers. Designed to help learners improve their English grammar and writing skills in preparation for college-level coursework.
This Grammar Course is made up of 4 modules:
- Listening, Speaking, and Critical Thinking
- Writer’s Workshop
- Reading and Note-taking
- Capstone Project
A fun exercise. Each of these blocks have names. The red ones are called hundred. The blue ones are called ten unless you're talking about the light blue block which is five. Numbers have two parts: the how many part and the what kind part.Stanford University
TeachingWriting
Addressing Grammar and Correctness
https://pwr.stanford.edu/about-pwr/past-projects-initiatives/adventures-writing
Coming soon:
🔹 Carnegie Mellon University (CMU)
🔹 Massachusetts Institute of Technology (MIT)
🔹 Harvard University
🔹 California Polytechnic State University (Cal Poly)
🌐 Other Open Educational Resources
Open University Grammar Matters
Open University. Explores how grammar and vocabulary choices create meaning, applicable to real-world communication. Grammar matters because, combined with vocabulary choice, it is our main way of making meaning. This free course introduces you to one approach used to understand how meanings relate systematically to different aspects of grammar and shows how this deeper understanding can be applied to make everyday communication more effective.
Khan Academy Grammar
Khan Academy offers a comprehensive series of lessons covering parts of speech, punctuation, syntax, and more. Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. i think you'll find Crewton Ramone's House of Math's mathematics explanations superior to Kinde Academy's,
Alison Online Grammar
Alison Online FREE English Grammar Courses: Provides various courses to enhance grammar accuracy for effective communication. These free online English grammar courses will help lay the groundwork for effective communication by enhancing your accuracy in using the language. Correct grammar is the most important element of English but the most complex and difficult to study. Start learning its proper usage and demonstrate your English skills to enhance your personal, career, and social development. Click the link, it will take you to a page full of links to many online courses. Caution advised you could spend a lot of time here.
Oxford Online FREE English Grammar Lessons
Oxford Online has Free English Grammar Lessons features video lessons with clear explanations to make English grammar easy to understand. You must accept their cookies or you can't use their site. This page features, many YouTube videos, that you may find enjoyable and interesting when learning grammar.
Grammar Monster
Grammar Monster has hundreds of lessons, tests, games, and word lists covering everything from basic vocabulary to tips for advanced writers. The site is packed with teaching resources, including video lessons, printable word lists, and shareable tests.
There is no log-in, and everything is free! There are a couple of ads, and that's how I fund the site. (There are no ads in the lesson content. None. Not one.)
Sentence Diagramming
Teaching and learning grammar don't have to be painful. This website, Grammar Revolution can help you teach and/or learn grammar and sentence diagramming with ease.
You might even have fun doing it. She is as enthusiastic about grammar as i am about math. Go to her site and download her free beginner's guide to grammar. Grammar Revolution is a great homeschool resource.
Pro tip: When you are first teaching math think of it like teaching English. Numbers are modifiers or adjectives. Four hundred as opposed to four thousand...four is the modifier.
With base ten manipulatives the difference between the red hundreds and the green thousands is much more experiential than just looking at 400 and 4,000 or 4 x 10² and 4 x 10³. At first a lot of math is just vocabulary. Learning the names of the blocks...and addends are just synonyms...10 is the same as 9 + 1, 8 + 2 etc, 42 could be 6 x 7 or 7 x 6 or 21 + 21...which is the same as 7 x 3 plus 7 x 3. When you are playing with blocks, this is all visually obvious.
Grammarly
Then, of course there's Grammarly. Grammarly did a massive media campaign all you have to do a search for it. i used to hate sentence diagramming
but now i realize how important it is, and i am thankful that i had to take two semesters of it.
Rhetoric i found this page looking for links to grammar courses but it will eventually end up on the rhetoric page when i get around to building it.
https://pwr.stanford.edu/about-pwr/past-projects-initiatives/adventures-writing
The Trivium
Logic
Concepts
Getting Started
Place Value
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Consider a dollar a month.
For $1 per month (the lowest level subscription) you get access to
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You'll find hours and hours of videos with base ten blocks and information you won't find anywhere else not even on this website there. i often post video tutoring sessions there. Other people post vids and links there too. Lessons cost the people doing them minimum $60.00 and hour. You can watch 2 to 10 of them a month for a dollar...Do the math. Currently 127 people are there. About half of them are active.
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Note: from time to time the passwords change. Simply e-mail me for a new one or a new passport as the case may be. Annual passes are good for one year, lifetime passes are good for as long as the site remains up, (site has been up for eight years now). All single page passwords have lifetime renewal.
Note: Mortensen Product Ordering Buttons Have Been Removed Due To Shipping/Inventory Issues. i basically DO NOT sell product for them anymore. Use eBay or other sources for base ten blocks. Check with Anna's Math Page.
Want to see more free pages & lessons & other free stuff on this site?
Consider a dollar a month.
For $1 per month (the lowest level subscription) you get access to
The
Super Duper Super Secret Facebook Page.
You'll find hours and hours of videos with base ten blocks and information you won't find anywhere else not even on this website there. i often post video tutoring sessions there. Other people post vids and links there too. Lessons cost the people doing them minimum $60.00 and hour. You can watch 2 to 10 of them a month for a dollar...Do the math. Currently 127 people are there. About half of them are active.
You basically get a support group for a buck a month.
Here's My Patreon:
https://www.patreon.com/CrewtonRamone
Passwords have changed as of July2023.
The superduper supersecret math page on Facebook is NOT FREE. Just sign up for a buck a month or buy books or a password.
People are shocked and amazed when they see how much they get for a password. $43.33 goes a long way at the house of math.