Goal: Within each week's math lessons, I would like to differentiate instruction into at least three levels.
Activities
1. Use class website to differentiate instructional assessment materials based on MAP scores.
-I posted vocabulary related to each RIT score on Quizlet. During access time students practiced learning the vocabulary for their RIT score on Quizlet and took a graded computerized test.
-I linked two different websites to my teacherweb.com site. Each contained games and lessons related to different RIT scores and target areas.
-Name tags were made for each student with a target area and a strength area so students knew what section of the sites they should go to.
2. Utilize Part 3 of Everyday Math Lessons.
-I listed Part 3 activities in my lesson plans.
-I used MAP cards and activities as my Part 3 Activities in my lesson plans and access lessons.
-I created a word bank and quizzes for each unit on Quizlet.
-Examples of Part 3 Activities:
Unit 1-Using Relation Symbols to Compare Numbers/Searching for Symbols/Solving a Polygon Puzzle/Comparing and Contrasting Quadrangles/Identifying Properties of Kites and Rhombuses/Creating Circle Designs
Unit 2 - Sharing Country Information/Solving Pan-Balance Problems/Sorting Domino Sums/Number Grid Problems/Using a Place-Value Tool/Recording Data With Tally Marks/Playing Subtraction Top-It/Comparing Family-Size Data/Constructing a "Real Graph"
Unit 3- Identifying Polygon Properties/Playing Name That Number/Playing Multiplication Baseball/Playing Multitiplication Top-It/Exploring Skip-Count Patterns on the Hundreds Grid/Finding Mean/Comparing the Mean and Median/Creating a Poster/Measuring to the Nearest 1/2 Inch/Playing High Number Toss/Writing Number Models With Parenthesis/Using Fact Triangles
Unit 4- Using Money to Explore Decimals/Exploring the One/Solving a Decimal Magic Square/Solving Hiking Problems/Exploring the Relationship Between Metric Units/A Measurement Scavenger Hunt/
Unit 5- Playing Multiplication Top-It/Solving Multiplication/Division Puzzles/Multiplication Wrestling/Exploring Patterns in Extended Facts/Modling Multiplication With Base-10 Blocks/Exploring Big Numbers in How Much Is a Million?/Playing Number Top-It/Playing High Number Toss
Unit 6- Playing Division Arrays/Finding Multiples of 10 and 100/Playing Beat the Calculator/Playing Angle Tangle/Modeling Angles/Playing Division Dash/Performing a "Magic Trick"
Unit 7- Naming Fractional Parts of a Region/Playing Grab Bag/Exploring Tangrams/Exploring Fractions that Sum to One/Finding Equivalent Fractions/Modeling Equivalent Fractions/Creating Base-10 Block Designs/Finding the ONE/Dividing Circles into Fractional Parts
Unit 8- Making a Scale Drawing of Your Bedroom/Exploring Different Polygons with the Same Area/Counting Squares to Find Area/Finding Areas of Rectangles/Exploring the Relationship between the Perimeter and Area of a Rectangle/Solving Area and Perimeter Problems
Unit 9- Finding 50% of a Square/Exploring Percent Patterns/Solving Discount Number Stories/Solving "Percent-of" Problems/Graphing Survey Results/Solving Number Stories/Solving Division Number Stories Involving Money/Writing and Solving Division Number Stories with Decimals
Unit 10- Exploring Reflections/Creating a Paint Reflection/Solving Paper-Folding Puzzles/Creating Reflections with Pattern Blocks or Centimeter Cubes/Exploring Line Symmetry/Exploring Tessellations/Creating Freize Patterns/Playing Credits/Debits Game/Using a Number Line to Add Positive and Negative Numbers
Unit 11- Ordering Weights
Unit 12- Solving Rate Problems...
3. Provide additional after school enrichment and in class small group remediation.
-Students in Algebra Club worked on Skill Link Books, Pre-Algebra and/or Algebra Packets after school on Tuesday and Thursday nights from 3:05-3:50.
-Individuals and small groups worked on Skill Link Book Pages as homework assignments and/or work during choir and math class.
- After every test, students met in small groups for remediation of each skill tested.
Assessment
1. MAP Data - See separate pages.
2. Computer quiz results - Students kept taking the Quizlet tests until they earned at least an "A" for Units 1-9
3. Unit Tests - Each student's Unit Test was graded by skill section. Students reviewed and retested sections that were missed.
4. Reflections (after each unit) - I did reflect in my lesson plans after each unit and many of my weekly reflections are related to math instruction.
5. Student self-assessments - Initially, I used the Self-Assessment Checklist for each unit. However, it was more productive to use a practice test so that I could immediately teach students a skill they did not understand.
Thursday, May 17, 2012
Sunday, May 13, 2012
Recent Reading
Lately, I have been doing a lot more reading than writing! My iPad is always in my purse so it's like I'm carrying around a bunch of books, the latest New York Times and all my email wherever I go! During the last few months, I have read a number of interesting books (and a few duds). Here's a description of most of them:
Non-Fiction
Don't Let's Go to the Dogs Tonight by Alexander Fuller- At first, I did not "like" the author's mother as she was described in this book. However, after a while, you begin to see the daughter's point of view and the humor of the family's travails in Africa.
Cocktail Hour Under the Tree of Forgetfulness by Alexandra Fuller - By the time I finished the second book, I was completely won over by the author and her family. I wish there was more!
Eiffel Tower by Jill Jonnes - This book was recommended to my daughter Sasha by her English teacher. I really liked it, too. It covers the history of France while the Eiffel Tower was being built and continues the history of France and Americans in France written by David McCullough in The Greater Journey. In addition, the author writes a lot about Annie Oakley and Buffalo Bill. There is a great PBS American Experience episode about Annie Oakley, and I enjoyed reading more.
The Colonel and Little Missie by Larry McMurtry - Okay, I wanted to read a full history of Annie Oakley and Buffalo Bill. However, this book was not very well-written, and I would only recommend it to someone who was as interested as I was in learning more.
The Nazi Officer's Wife by Edith Hahn Beer with Susan Dworkin - Finding this little gem never would have happened if I had not been able to download a free sample first. After I read the first couple of chapters, I just wanted to read more. Edith tells her story of being a young Jewish woman in Vienna and Germany during the 1930's and '40's. She does end up marrying a German man who becomes a Nazi officer during the war. She keeps her idenity hidden and survives.
The Man Without a Face: The Unlikely Rise of Vladimir Putin by Masha Gessen - I do not think people in the United States understand the control and power that Putin wields in Russia. While I was not interested in the author's personal experiences and feelings, I was very interested in Putin's almost dictatorlike status. I tried to find out more by reading reviews of the book on Amazon and on Wikipedia but both places are so filled with biased writing and arguments that it just confirmed how the Russian propaganda machine works.
Unbroken by Laura Hillenbrand - While I still think Seabiscuit is one of the best books I have ever read, this was a very interesting story, too, about a track star who becomes a WWII prisoner. For me, it was a little long, but I could recommend a condensed version.
Class Matters by Correspondents of The New York Times - It was an okay book. I did not learn much that was new to me, however. Yes, class does matter and few people successfully change their class. The rich are getting richer, yada, yada, yada.
The Real Romney by Michael Kranish and Scott Helman - This is a biography of Mitt Romney. I suppose if you were a big supporter you would find this book biased against him, but I'm not, so it was interesting to me.
100 Yards of Glory by Joe Garner and Bob Costas - Why did I read this book? Why do I care even one iota about professional football? Is it the Packer game parties during the regular season and playoffs? Do I just like the voice narration of NFL Films? Is it the 1960's Packers with Lombardi and the Ice Bowl? Is a history of anything and everything interesting to me? I really cannot defend my interest. While the writing is subpar, I did like the video clips (for whatever reason) that were included in the iPad version of the book.
A Bad Idea I'm About to Do by Chris Gethard - Every once in a while, I look for a book listed under the category of "humor". This was one of those books. There are some funny sections that I could relate to because I, too, was once a stupid, risktaking teenager. However, as an adult with a husband and kids, I could not relate to his stories once he finished high school.
You're Not Doing It Right by Michael Ian Black - Okay, this was another humor book I chose based on reading a free sample, and the fact that Phil is always telling me I am not driving, loading the dishwasher, vacationing, and starting a fire the "RIGHT" way. After finishing the full book, I would recommend downloading the free sample and sticking with that.
The Shallows: What the Internet Is Doing To Our Brains by Nicholas Carr - The author's premise is that we just skip around and can't write or finish a long book or detailed article because of the Internet. Enough said.
Slavery By Another Name by Douglas A. Blackmon - This was so heartbreaking to read. The book was nominated for the National Book Award because it is so well-researched that no one could deny how millions of African-Americans were denied freedom AFTER the Civil War and for many, many years after Reconstruction.
The Better Angels of Our Nature: Why Violence Has Declined by Steven Pinker - The author proves his thesis, but I am not at all convinced he needed a whole book to do it.
While America Sleeps by Russ Feingold - It was kind of boring. I gained more insight into Russ's perspective as a Wisconsinite who came from a political family than I did about the lead up to the Iraq War.
The Afghan Wars: History in an Hour by Rupert Colley - It was like an expanded Wikipedia article. Everything you wanted to know in 89 pages.
King Peggy by Peggielene Bartels and Eleanor Herman - I liked this autobiography of a single woman in her fifties who is working at Ghana's Embassy in Washington, D.C. when she hears that she has been chosen as the next king of a small area of Ghana with approximately 7,000 people. Her journey, decisions, experiences and life as king was something both exotic and mundane, fantastic and believable.
Fiction
Death Comes to Pemberley by P.D. James - This is a continuation of Pride and Prejudice. Darcy, Elizabeth, and many of the original characters try to solve the mystery of Wickham's death. Unfortunately, while P.D. James might be a good mystery writer, she is no Jane Austen.
Swamplandia! by Karen Russell - I loved the originality of the setup for this story. The characters and the theme park are almost too strange to be fiction! For me, the last few chapters were a little too "literary" and symbolic. I like good storytelling more than allegory.
One for the Money by Janet Evanovich - I thought this would be like Smilla's Sense of Snow; A book with a strong, kickass heroine, but it just seemed stupid to me.
Apex Hides the Hurt by Colin Whitehead - This was a strange, but compelling book by a very good author. It took me almost the whole book to figure out the "meaning", but the story was worth reading anyway.
Ishmael by Daniel Quinn - My older daughter had to read this fiction book for her world history class. After she (and I) started reading it, I realized I had read it for a book club years ago. While I initially hated the book, my book club members convinced me it was an interesting topic to discuss. I cannot believe how much more mature my daughters are as students and readers than I was at the same age!
The House of the Scorpion by Nancy Farmer - This was a fiction book recommended to my younger daughter, but I enjoyed it, too. Very interesting! A great story that also makes you think.
New Books (for me) - Otherwise known as The Start of My Summer Reading List!
Imagine by Jonah Lehrer
The Evolution of God by Robert Wright
Lots of Candles, Plenty of Cake by Anne Quindlen
Abraham Lincoln: Vampire Hunter by Seth Grahame-Smith
Justice: What's the Right Thing to Do? by Michael J. Sandel
Wolf Hall by Hilary Mantel
Non-Fiction
Don't Let's Go to the Dogs Tonight by Alexander Fuller- At first, I did not "like" the author's mother as she was described in this book. However, after a while, you begin to see the daughter's point of view and the humor of the family's travails in Africa.
Cocktail Hour Under the Tree of Forgetfulness by Alexandra Fuller - By the time I finished the second book, I was completely won over by the author and her family. I wish there was more!
Eiffel Tower by Jill Jonnes - This book was recommended to my daughter Sasha by her English teacher. I really liked it, too. It covers the history of France while the Eiffel Tower was being built and continues the history of France and Americans in France written by David McCullough in The Greater Journey. In addition, the author writes a lot about Annie Oakley and Buffalo Bill. There is a great PBS American Experience episode about Annie Oakley, and I enjoyed reading more.
The Colonel and Little Missie by Larry McMurtry - Okay, I wanted to read a full history of Annie Oakley and Buffalo Bill. However, this book was not very well-written, and I would only recommend it to someone who was as interested as I was in learning more.
The Nazi Officer's Wife by Edith Hahn Beer with Susan Dworkin - Finding this little gem never would have happened if I had not been able to download a free sample first. After I read the first couple of chapters, I just wanted to read more. Edith tells her story of being a young Jewish woman in Vienna and Germany during the 1930's and '40's. She does end up marrying a German man who becomes a Nazi officer during the war. She keeps her idenity hidden and survives.
The Man Without a Face: The Unlikely Rise of Vladimir Putin by Masha Gessen - I do not think people in the United States understand the control and power that Putin wields in Russia. While I was not interested in the author's personal experiences and feelings, I was very interested in Putin's almost dictatorlike status. I tried to find out more by reading reviews of the book on Amazon and on Wikipedia but both places are so filled with biased writing and arguments that it just confirmed how the Russian propaganda machine works.
Unbroken by Laura Hillenbrand - While I still think Seabiscuit is one of the best books I have ever read, this was a very interesting story, too, about a track star who becomes a WWII prisoner. For me, it was a little long, but I could recommend a condensed version.
Class Matters by Correspondents of The New York Times - It was an okay book. I did not learn much that was new to me, however. Yes, class does matter and few people successfully change their class. The rich are getting richer, yada, yada, yada.
The Real Romney by Michael Kranish and Scott Helman - This is a biography of Mitt Romney. I suppose if you were a big supporter you would find this book biased against him, but I'm not, so it was interesting to me.
100 Yards of Glory by Joe Garner and Bob Costas - Why did I read this book? Why do I care even one iota about professional football? Is it the Packer game parties during the regular season and playoffs? Do I just like the voice narration of NFL Films? Is it the 1960's Packers with Lombardi and the Ice Bowl? Is a history of anything and everything interesting to me? I really cannot defend my interest. While the writing is subpar, I did like the video clips (for whatever reason) that were included in the iPad version of the book.
A Bad Idea I'm About to Do by Chris Gethard - Every once in a while, I look for a book listed under the category of "humor". This was one of those books. There are some funny sections that I could relate to because I, too, was once a stupid, risktaking teenager. However, as an adult with a husband and kids, I could not relate to his stories once he finished high school.
You're Not Doing It Right by Michael Ian Black - Okay, this was another humor book I chose based on reading a free sample, and the fact that Phil is always telling me I am not driving, loading the dishwasher, vacationing, and starting a fire the "RIGHT" way. After finishing the full book, I would recommend downloading the free sample and sticking with that.
The Shallows: What the Internet Is Doing To Our Brains by Nicholas Carr - The author's premise is that we just skip around and can't write or finish a long book or detailed article because of the Internet. Enough said.
Slavery By Another Name by Douglas A. Blackmon - This was so heartbreaking to read. The book was nominated for the National Book Award because it is so well-researched that no one could deny how millions of African-Americans were denied freedom AFTER the Civil War and for many, many years after Reconstruction.
The Better Angels of Our Nature: Why Violence Has Declined by Steven Pinker - The author proves his thesis, but I am not at all convinced he needed a whole book to do it.
While America Sleeps by Russ Feingold - It was kind of boring. I gained more insight into Russ's perspective as a Wisconsinite who came from a political family than I did about the lead up to the Iraq War.
The Afghan Wars: History in an Hour by Rupert Colley - It was like an expanded Wikipedia article. Everything you wanted to know in 89 pages.
King Peggy by Peggielene Bartels and Eleanor Herman - I liked this autobiography of a single woman in her fifties who is working at Ghana's Embassy in Washington, D.C. when she hears that she has been chosen as the next king of a small area of Ghana with approximately 7,000 people. Her journey, decisions, experiences and life as king was something both exotic and mundane, fantastic and believable.
Fiction
Death Comes to Pemberley by P.D. James - This is a continuation of Pride and Prejudice. Darcy, Elizabeth, and many of the original characters try to solve the mystery of Wickham's death. Unfortunately, while P.D. James might be a good mystery writer, she is no Jane Austen.
Swamplandia! by Karen Russell - I loved the originality of the setup for this story. The characters and the theme park are almost too strange to be fiction! For me, the last few chapters were a little too "literary" and symbolic. I like good storytelling more than allegory.
One for the Money by Janet Evanovich - I thought this would be like Smilla's Sense of Snow; A book with a strong, kickass heroine, but it just seemed stupid to me.
Apex Hides the Hurt by Colin Whitehead - This was a strange, but compelling book by a very good author. It took me almost the whole book to figure out the "meaning", but the story was worth reading anyway.
Ishmael by Daniel Quinn - My older daughter had to read this fiction book for her world history class. After she (and I) started reading it, I realized I had read it for a book club years ago. While I initially hated the book, my book club members convinced me it was an interesting topic to discuss. I cannot believe how much more mature my daughters are as students and readers than I was at the same age!
The House of the Scorpion by Nancy Farmer - This was a fiction book recommended to my younger daughter, but I enjoyed it, too. Very interesting! A great story that also makes you think.
New Books (for me) - Otherwise known as The Start of My Summer Reading List!
Imagine by Jonah Lehrer
The Evolution of God by Robert Wright
Lots of Candles, Plenty of Cake by Anne Quindlen
Abraham Lincoln: Vampire Hunter by Seth Grahame-Smith
Justice: What's the Right Thing to Do? by Michael J. Sandel
Wolf Hall by Hilary Mantel
Friday, February 10, 2012
The Art of Teaching
Lately, I have been returning to the belief that teaching is an art. Particularly in today's society when so many new demands are being added to education, I find a "recipe," even a good one, cannot be used too often. Sure, we have procedures and routines that continue throughout the year, and that is a good thing. However, my teaching practice and what my students need from me is an ever-changing work in progress.
Since we began relying so much on testing, I am much more intentional in my teaching and much more accountable for basic things that every student must learn. However, because I also want to differentiate, I am still bringing multiple extension activities to my classroom. There is no way everyone can be given the same three or four part lesson everyday. Finally, the academic basic education and testing focus ignores the multiplying number of students who need a responsive, caring environment. The "recipe" approach is at best a tasteless dish that does not bring inspiration for new efforts and lasting memories that stay with you for the rest of your life.
I want to create things that my students and I love! Learning with an everlasting taste for more; more math, more history, more stories. What worked well last year, last month or last week is going to be different from what will work well in the future. This is the challenge.
Since we began relying so much on testing, I am much more intentional in my teaching and much more accountable for basic things that every student must learn. However, because I also want to differentiate, I am still bringing multiple extension activities to my classroom. There is no way everyone can be given the same three or four part lesson everyday. Finally, the academic basic education and testing focus ignores the multiplying number of students who need a responsive, caring environment. The "recipe" approach is at best a tasteless dish that does not bring inspiration for new efforts and lasting memories that stay with you for the rest of your life.
I want to create things that my students and I love! Learning with an everlasting taste for more; more math, more history, more stories. What worked well last year, last month or last week is going to be different from what will work well in the future. This is the challenge.
Tuesday, January 17, 2012
Groupthink
I read an interesting article in the New York Times yesterday. I would be interested to know what other people think:
http://www.nytimes.com/2012/01/15/opinion/sunday/the-rise-of-the-new-groupthink.html?src=me&ref=general
http://www.nytimes.com/2012/01/15/opinion/sunday/the-rise-of-the-new-groupthink.html?src=me&ref=general
Thursday, January 12, 2012
The New Year Is Going Great!
Wow! The kids came back from break ready to learn, and we are having a great time. Our second Native American Dinner was awesome. Lorene (our fabulous) cleaner and her friend came to our dinner dressed in their authentic rendezvous clothes and spoke to the class. We had many parents and family members join us, and they were nice enough to help clean up, bead shirts and face paint. Today we even tried playing lacrosse in the snow!
We have survived learning long division, and the kids are making some beautiful pieces of artwork using rotations, translations and reflections. Plus, some of the kids are doing some really great stuff in algebra club. Differentiation is going perfectly, but I'm glad I'm not stuck doing the research project I planned last year. I like how class flows. Our setups and activities are flexible.
A couple of kids who really struggled with class behavior during the first semester are doing really well in class (we're still working on hallways and recess). I enjoy the excitement and positive attitudes of the kids in fourth grade. I also enjoy working with the new teachers who are always teaching me new things and have so much enthusiasm and humor. However, it's going to be a bummer when we lose one of my favorite staff members (to retirement) in March.
We have survived learning long division, and the kids are making some beautiful pieces of artwork using rotations, translations and reflections. Plus, some of the kids are doing some really great stuff in algebra club. Differentiation is going perfectly, but I'm glad I'm not stuck doing the research project I planned last year. I like how class flows. Our setups and activities are flexible.
A couple of kids who really struggled with class behavior during the first semester are doing really well in class (we're still working on hallways and recess). I enjoy the excitement and positive attitudes of the kids in fourth grade. I also enjoy working with the new teachers who are always teaching me new things and have so much enthusiasm and humor. However, it's going to be a bummer when we lose one of my favorite staff members (to retirement) in March.
Sunday, December 25, 2011
'Tis the Season
Merry Christmas! What a wonderful, wonderful time of the year! On the 23rd, we went to a wedding! It was so beautiful. Cathy, Phil’s sister, walked down a winding, dark wood staircase with her dad and met the groom in front of a large fireplace decorated with white candles, Christmas boughs and a star. All the guests stood around the bride and groom. It was so romantic for Phil and me that I could not help tearing up just a little bit. It was elegant and cozy, relaxed and lovely.
The next day at noon, we all met for brunch at a restaurant overlooking Lake Geneva on a sparkling sunny day. Then, we came home and enjoyed a relaxing Christmas Eve around our own tall Christmas tree and cozy fire on Cascade Mountain. Now, we are on our way to Whitecap Ski Resort, listening to Christmas carols and watching the snow get deeper throughout the North Woods. Tonight we will meet our friends, Kyle and Jill, for dinner, and then we’ll watch the Packers as we build our traditional gingerbread house. In the morning, it’s time for skiing.
This year I seem to be enjoying Christmas more and more even though I am doing less and less. Perhaps, it is precisely because we did so little that we are enjoying it so much. The wedding, the reception, the brunch and the vacation were all planned by others. We never even got around to putting up stockings or ornaments on the tree. I just put bows on all the presents for family and friends. The girls each received a new blow dryer wrapped in blankets under the tree. Cathy’s wedding gift was bought, wrapped and shipped from my laptop computer. My students received stamped paper bags containing a calculator, ornament and candy. The closest we came to watching a Christmas movie was laughing at the holiday episode of our favorite TV show, The Middle, on DVD. Phil and I are sure that the writers of that show have installed a hidden camera in our house just to get new material.
Tuesday, December 13, 2011
Update On Math Goals
Okay, we finished Unit 4. Next week we will finish Unit 5. I think we have found a very productive way of differentiating math instruction. I think there may be better ways with different classes, but this year, at this time, I feel very good about what we are doing.
Each day begins with some “interactive whiteboard” work. Sometimes it’s review and sometimes it’s new, but it always lets me discover where students' misconceptions are popping up. Next, I try to use manipulatives or a computer image, a movie or something fun to teach the lesson.
Then, students do some “practice” problems. Sometimes, I just walk around and check, sometimes they work with partners, sometimes they check their own work, sometimes I check it. The immediate feedback is important. Otherwise, kids sometimes just write any old answer.
Next, is the differentiation. Students have always had differentiated basic facts test. Some kids are working on multiplying 5’s and one is already through division of 9’s. Students also have group work, work based on MAP RIT score, enrichment packets, games on the ipad and our website, and opportunities to work with me and other adults individually or in small groups.
Finally, our after school “Algebra” Club is a lot different than last year. Only three students are truly working on “algebra,” nine or ten are working on pre-algebra packets and four or five are working in grade four study link workbooks. I have learned that my fourth graders this year really cannot teach themselves like my sixth graders could last year. The only one who can really do that is the only third grader who is in our club. However, everyone is working and learning.
Each day begins with some “interactive whiteboard” work. Sometimes it’s review and sometimes it’s new, but it always lets me discover where students' misconceptions are popping up. Next, I try to use manipulatives or a computer image, a movie or something fun to teach the lesson.
Then, students do some “practice” problems. Sometimes, I just walk around and check, sometimes they work with partners, sometimes they check their own work, sometimes I check it. The immediate feedback is important. Otherwise, kids sometimes just write any old answer.
Next, is the differentiation. Students have always had differentiated basic facts test. Some kids are working on multiplying 5’s and one is already through division of 9’s. Students also have group work, work based on MAP RIT score, enrichment packets, games on the ipad and our website, and opportunities to work with me and other adults individually or in small groups.
Finally, our after school “Algebra” Club is a lot different than last year. Only three students are truly working on “algebra,” nine or ten are working on pre-algebra packets and four or five are working in grade four study link workbooks. I have learned that my fourth graders this year really cannot teach themselves like my sixth graders could last year. The only one who can really do that is the only third grader who is in our club. However, everyone is working and learning.
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