# Immersing yourself in IBL at Westfield

**Written by:** Dr. Volker Ecke.

## Come and explore IBL at Westfield

An inquiry-based learning classroom looks very different from a traditional classroom in so many ways. Consider the following aspects as examples: What are the goals and meta-goals do we have for our students? What types of investigations make sense for what kinds of classes? What format for student collaboration works well for what majors? What depth do we expect in student explanations? What general noise level in a class are you comfortable with? How many independent lines of thought are going on in a single classroom at the same time? What pedagogical "control knobs" does the faculty member have who is facilitating the inquiry? What pedagogical techniques are effective for engaging students in inquiry?

Many of these aspects are closely interrelated, difficult to untangle, and hard to communicate with precision and clarity through papers, blogs and even videos. In the spirit of inquiry, you really should be involved in the process of inquiry.

Wouldn't it be amazing to develop a collection of IBL hubs or centers across the US where mathematics faculty could immerse themselves for a day in a broad variety of IBL classroom experiences, explore IBL course materials, review studies and publications about IBL, and engage in deep pedagogical conversations with more experienced faculty in a department environment that welcomes broad exploration of IBL?

At Westfield State University, we happen to have a department where many faculty engage in IBL in a broad range of styles, content areas, and student audiences. We are welcoming faculty to visit with us for a day at Westfield State University. Depending on your interests, you can visit any class you want and engage with faculty on topics that help you develop as an IBL teacher.

If this sounds intriguing and you'd like to visit, please contact us and start a conversation about arrangements for your visit!

#### Sample Schedule

To give you a sense of what such a visit could look like, here's a sample schedule.

- Arrive, coffee/tea, checking in with faculty, quick orientation to the department
- Class visit 1 (e.g. Math for Liberal Arts, Calc I/III, Math Majors Classes, Secondary Licensure Math course, Math for Elementary School Teachers, ...)
- De-brief with faculty after class
- Class visit 2
- De-brief with faculty after class
- Lunch conversation with IBL faculty
- Longer group meeting with IBL faculty, identifying specific areas of interest to the visiting faculty, identifying resources,
- Another class visit / researching materials / conversations with students / ...

We could likely find a place to put you up overnight if you want to leave the following day (or stay for another day of classroom visits and conversations :-).

## Schedule of Courses

Here is a selection of courses you could come and join. In addition to courses taught by the four of us, we also list courses taught by faculty who we closely collaborate with: JF=Julian Fleron, PKH=Philip Hotchkiss, VE=Volker Ecke, CvR=Christine von Renesse, BJ=Brian Jennings, AR = Anna Rokicki, PDO = Philip DeOrsey, DM = Diane Morton, JMc=Judy MacKinnon, JL=Lenny Livingstone, JW=Jim Wright, KV=Karin Vorwerk, TW=Ted Welsh.

#### Spring 2020

Day of Week | Time of Day | Type of Course | Teacher | Notes |
---|---|---|---|---|

TR | 11:15-12:30 | Mathematical Explorations | CvR | General Ed, First Year Only |

MW | 1:40-2:55 | Linear Algebra | CvR | STEM majors |

TR | 9:45-11:00 | Pre-Calculus | PDO | STEM majors |

MWF | 9:20-10:10 | Calculus 1 | PDO | STEM majors |

M | 10:25-11:15 | Calculus 1 | PDO | STEM majors |

TR | 12:45-2:00 | Graph Theory | PDO | Math majors |

MWF | 11:30-12:20 | Calculus 2 | AR | STEM majors |

W | 10:25-11:15 | Calculus 2 | AR | STEM majors |

TR | 9:45-11:00 | Mathematical Explorations | DM | General Ed |

TR | 12:45-2:00 | Mathematical Explorations | DM | General Ed |

TR | 2:15-3:30 | Number Systems | VE | Future Elem Ed |

TR | 8:15-9:30 | Number Systems | DM | Future Elem Ed |

MW | 1:40-2:55 | Patterns and Algebra | VE | Future Elem Ed |

TR | 11:15-12:30 | Patterns and Algebra | AR | Future Elem Ed |

TR | 11:15-12:30 | Actuarial Problem Solving | VE | STEM majors |

TR | 12:45-2:00 | Elementary Stats | KV | General Ed |

MWF | 9:20-1:10 | Calculus 3 | KV | STEM Majors |

F | 10:25-11:15 | Calculus 3 | KV | STEM Majors |

MWF | 11:30-12:20 | Math Stats (Calc based) | TW | STEM Majors |

TR | 11:15-12:30 | Calculus 2 | JF | STEM Majors |

TR | 10:25-11:15 | Calculus 2 | JF | STEM Majors |

MW | 1:40-2:55 | Literature of Math | JF | General Ed |

TR | 2:15-3:30 | Number Theory | JF | Math Majors |

#### Fall 2019

Day of Week | Time of Day | Type of Course | Teacher | Notes |
---|---|---|---|---|

TR | 11:15-12:30 | Calculus 1 | CvR | STEM majors |

M | 11:30-12:20 | Calculus 1 | CvR | STEM majors |

TR | 8:15-9:30 | Secondary Ed Methods | CvR | Future sec ed teachers |

MW | 1:40-2:55 | Pre-Calculus | CvR | STEM majors |

TR | 9:45-11:00 | Patterns and Algebra | VE | Future Elem Ed |

TR | 12:45-2:00 | Patterns and Algebra | VE | Future Elem Ed |

MW | 1:40-2:55 | Modern Geometries | VE | Math Majors |

MWF | 11:30-12:20 | Calculus 2 | PD | STEM Majors |

W | 10:25-11:15 | Calculus 2 | PD | STEM Majors |

TR | 9:45-11:00 | Abstract Algebra | PD | Math Majors |

TR | 2:15-3:30 | Math Explorations | PD | General Ed, Honors |

MWF | 12:35-1:25 | Math Explorations | JF | General Ed |

TR | 2:15-3:30 | Math Explorations | DM | General Ed |

TR | 12:45-2:00 | Math Explorations | DM | General Ed |

TR | 3:45-5:00 | Math Explorations | DM | General Ed |

TR | 11:15-12:30 | Number Systems | AR | Future Elem Ed |

#### Spring 2019

Day of Week | Time of Day | Type of Course | Teacher | Notes |
---|---|---|---|---|

TR | 9:45-11 am | Patterns, Reasoning, Algebra | CvR | Future Elementary School Teachers |

TR | 2:15-3:30 pm | Mathematical Explorations | CvR | Mathematics for Liberal Arts |

TR | 9:45-11 am | Calculus 1 | PDO | STEM majors |

MWF | 8:15-9:05 am | Mathematical Explorations | PDO | General Education |

MWF | 10:25-11:15 am | Pre-Calculus | PDO | STEM majors and General Ed |

MWF | 9:20-10:10 am | Linear Algebra | PH | STEM majors |

MWF | 11:30-12:20 pm | Mathematical Explorations | PH | General Education |

MW | 1:40-2:55 pm | Literature of Mathematics | PH | General Education |

TR | 11:15-12:30 pm | Calculus 2 | AR | STEM Majors |

W | 12:35-1:25 pm | Calculus 2 | AR | STEM Majors |

MWF | 10:25-11:15 am | Pattern, Algebra and Reasoning | AR | Future Elementary School Teachers |

TR | 12:45-2:00 pm | Pattern, Algebra and Reasoning | AR | Future Elementary School Teachers |

TR | 9:45-11:00 am | Math for Science Majors | KV | STEM majors |

Tuesday | 2:15-3:15 pm | Calculus 3 (small class) | KV | STEM majors |

MW | 1:30-12:20 pm | Calculus 3 (small class) | KV | STEM majors |

MWF | 9:20-10:10 am | Number Systems | JW | Future Elementary School Teachers |

MWF | 11:30-12:20 pm | Number Systems | JW | Future Elementary School Teachers |

TR | 8:15-9:30 | Patterns, Algebra and Reasoning | DM | Future Elementary School Teachers |

TR | 12:45-2:00 pm | Mathematical Exploration (small class) | DM | General Education |

TR | 2:15-3:30 pm | Mathematical Exploration | DM | General Education |

#### Fall 2018

Day of Week | Time of Day | Type of Course | Teacher | Notes |
---|---|---|---|---|

MW | 1:40-2:30 pm | Patterns, Reasoning, Algebra | VE | Future Elementary School Teachers |

TR | 2:15 -3:30 pm | Modern Geometries I | VE | Upper-level math major class |

TR | 11:15 am -12:10 | Calculus 1 | CvR | Math/Science Majors |

MW | 10:25 -11:15 am | Calculus 1 | CvR | Math/Science Majors |

MW | 1:40 -2:55 pm | Math Explorations | CvR | Liberal Arts, Gen Ed. |

MWF | 9:20-10:10 am | Mathematical Explorations | JF | Liberal Arts, Gen Ed. |

MWF | 10:25 -11:15 am | Intro to Math Systems | JF | Math Majors |

TR | 9:45 -11:00 am | Abstract Algebra | PDO | Math majors |

MWF | 9:20-10:10 am | Math Explorations | PDO | Liberal Arts, Gen Ed. |

MWF | 10:25 -11:15am | Pre-Calculus | PDO | STEM majors and General Ed. |

#### Spring 2018

Day of Week | Time of Day | Type of Course | Teacher | Notes |
---|---|---|---|---|

TR | 11:15 am -12:10 | Calculus 2 | CvR | Math/Science Majors |

W | 1:40 -2:30 pm | Calculus 2 | CvR | Math/Science Majors |

TR | 12:45 -2:00 pm | Pattern and Algebra | CvR | Future Elementary School Teachers |

TR | 9:45 -11:30 am | Number Systems | VE | Future Elementary School Teachers |

TR | 12:45 -2:00 pm | Math Methods | VE | Future Elementary School Teachers |

TR | 12:45 -2:00 pm | Calculus 1 | PDO | STEM majors |

F | 11:30-12:20 pm | Calculus 1 | PDO | STEM majors |

MWF | 10:25 -11:15am | Pre-Calculus | PDO | STEM majors and General Ed. |

MWF | 12:35 -1:25pm | Pre-Calculus | PDO | STEM majors and General Ed. |

TR | 2:15 -3:30 pm | Math Explorations | DM | Liberal Arts, Gen Ed. |

TR | 3:45 -5:00 pm | Math Explorations | DM | Liberal Arts, Gen Ed. |

#### Fall 2017

Day of Week | Time of Day | Type of Course | Teacher | Notes |
---|---|---|---|---|

TR | 11:15 am -12:10 pm | Calculus 1 | CvR | Math/Science Majors |

TR | 12:45 - 2:00 pm | Math for Liberal Arts | CvR | General Education |

W | 10:25 -11:15 am | Calculus 1 | CvR | Math/Science Majors |

M | 2:30 - 3:45 pm | Exploring Teaching High School | CvR | Math Ed. Majors |

MW | 1:40 - 2:55 pm | Precalculus | PDO | Math/Science Majors and Gen Ed |

MW | 3:10 - 4:00 pm | Precalculus | PDO | Math/Science Majors and Gen Ed |

TR | 11:15 - 12:30 pm | Calculus | PDO | Math/Science Majors |

F | 10:25 - 11:15 pm | Calculus | PDO | Math/Science Majors |

TR | 8:15 - 9:30 pm | Math for Liberal Arts | PH | Gen Education |

TR | 2:15 - 3:30 pm | Math for Liberal Arts | PH | Gen Education |

TR | 9:45 - 11:00 pm | Calculus 3 | PH | Math Majors |

M | 10:25 - 11:15 pm | Calculus 3 | PH | Math Majors |

MWF | 9:20 - 10:10 pm | Number Systems | VE | Elem Ed Majors |

MWF | 10:25 - 11:15 pm | Math for Liberal Arts | VE | Gen. Education |

TR | 3:45-5 pm | Modern Geometries I | VE | Math Majors |

TR | 9:45-11:00 am | Calculus 2 | AR | Math/Science Majors |

TR | 11:15-12:30 am | Calculus 2 | AR | Math/Science Majors |

TR | 12:45-2:00 pm | Linear Algebra | AR | Math/Science Majors |

MWF | 10:25-11:15 pm | Number Systems | AR | Elem Education |

MWF | 11:30-12:20 pm | Number Systems | AR | Elem Education |

MWF | 11:30-12:20 pm | Patterns and Algebra | BJ | Elem Education |

MW | 1:40-2:55 pm | Patterns and Algebra | BJ | Elem Education |

TR | 11:15-12:30 pm | Geometry | BJ | Elem Education |

MWF | 9:20-10:10 am | Intro to Math Systems | JF | Math Majors |

MWF | 10:25-11:15 am | Mathematical Explorations | JF | Gen Education |

TR | 9:45-11:00 am | Calculus 1 | JF | Math and Science Majors |

W | 12:35-1:25 pm | Calculus 1 | JF | Math and Science Majors |

#### Spring 2017

Day of Week | Time of Day | Type of Course | Teacher | Notes |
---|---|---|---|---|

W | 3:40-6:10 pm | Algebraic Geometry | CvR, VE | Math Majors |

Tue Th | 9:45-11 am | Elem. School Math | VE | Patterns, Algebra and Reasoning |

Tue Th | 12:45-2:00 pm | Math for Liberal Arts | VE | |

Tue Th | 9:45-11 am | Teaching Algebra in High School | CvR | Secondary Education |

Tue Th | 12:45-2:00 pm | Calculus 2 | CvR | |

Tue (not Th) | 11:15-12:30 pm | Calculus 2 | CvR | |

MWF | 9:20-10:10 pm | Differential Equations | PH | |

TR | 9:45-11:00 pm | Calculus 2 | AR | |

T | 11:15-12:30 pm | Calculus 2 | AR | |

TR | 12:45-2:00 pm | Linear Algebra | AR | |

MW | 4:00-5:15 pm | Number Theory | AR | |

TR | 2:15-3:30 pm | Foundations: Geometry | BJ | Future Elem School |

Tue Th | 12:45-2:00 pm | Math for Liberal Arts | PDO | |

M W | 1:40-2:30 pm | Calculus 1 | PDO | |

F | 12:35-2:15 pm | Calculus 1 | PDO |

#### Fall 2016

Day of Week | Time of Day | Type of Course | Teacher | Notes |
---|---|---|---|---|

M W F | 11:30-12:20 am | Math for Liberal Arts | CvR | Honors Learning Community |

M W F | 12:35-1:25 pm | Elem. School Math | CvR | Patterns, Algebra, Reasoning |

Tue Th | 11:30-12:45 am | Calculus 1 | CvR | |

W | 10:25-11:15 am | Calculus 1 | CvR | |

Tue Th | 8:15-9:30 am | Modern Geometries | VE | Math Majors |

Tue Th | 9:45-11:00 am | Math for Liberal Arts | VE | |

Tue Th | 12:45-2:00 am | Math Methods | VE | Math for Elem School |

Tue Th | 12:45-2:00 pm | Math for Liberal Arts | PKH | |

M W F | 12:35-1:25 am | Calculus 3 | PKH | |

TuTh | 11:15-12:30 pm | Calculus 3 | PKH | |

TuTh | 11:15-12:30 pm | Calculus 1 | JF | |

W | 12:35-1:25 am | Calculus 1 | JF | |

M W F | 12:35-1:25 pm | Math Elem School | BJ | Pattern, Algebra and Reasoning |

TuTh | 11:15-12:30 pm | Math for Elem School | BJ | Geometry |

#### Spring 2016

Day of Week | Time of Day | Type of Course | Teacher | Notes |
---|---|---|---|---|

TuTh | 9:45-11:00 am | Teaching Methods | CvR | Includes middle school class component. |

TuTh | 12:45-2:00 pm | Math for Liberal Arts | CvR | |

MWF | 9:20-10:10 am | Math for Liberal Arts | JF | |

MWF | 10:25-11:15 am | Math for Liberal Arts | JF | |

TuTh | 8:15-9:30 pm | Calc II | JF | |

TuTh | 8:15-9:30 am | Math for Liberal Arts | PKH | |

TuTh | 11:15-12:30 pm | Math for Liberal Arts | PKH | |

TuTh | 2:15-3:30 pm | Real Analysis | PKH | |

TuTh | 9:45-11:00 am | Elem School Math | VE | Patterns, Algebra, Reasoning |

TuTh | 12:45-2:00 pm | Math for Liberal Arts | VE | |

TuTh | 12:45-2:00 pm | Calc I | BJ | |

MWF | 11:30-12:20 pm | Elem Math Ed | BJ | Patterns, Algebra, Reasoning |

MWF | 12:35-1:25 pm | Elem Math Ed | BJ | Patterns, Algebra, Reasoning |

Tue/Thu | 2:15-3:30 pm | Differential Equations | BJ | |

MWF | 9:20-10:10 am | Linear Algebra | AR | |

MWF | 10:25-11:15 am | Elem Math Ed | AR | Patterns, Algebra, Reasoning |

MWF | 11:30-12:20 pm | Calc II | AR |

#### Fall 2015

Day of Week | Time of Day | Type of Course | Teacher | Notes |
---|---|---|---|---|

MWF | 9:20-10:10 | Math for Liberal Arts | JF | |

MWF | 10:25-11:15 | Math for Liberal Arts | JF | |

Tu/Thu | 9:45-11:00 | Introduction to Mathematical Systems | JF | |

Tu/Thu | 12:45-2:00 | Math for Liberal Arts | CvR | |

Tu/Th | 11:15-12:30 | Calculus III | CvR | |

W | 12:35-1:25 | Calculus III | CvR | |

Tu/Th | 7:50-9:30 | Calculus II | PH | |

Tu/Th | 9:45-11:00 | Math for Liberal Arts | PH | |

Tu/Th | 12:45-2:00 | Senior Seminar | PH | |

M/W | 2:45-4:00 | Modern Geometries | VE | |

Tu/Th | 9:45-11:00 | Math Methods (Elementary) | VE | Visits to Elementary School |

Tu/Th | 2:15-3:30 | Math for Liberal Arts | VE | |

Tu/Th | 12:45-2:00 | Math Teaching Methods (PK-2) | JMc | Visit to elementary school |

#### Spring 2015

Day of Week | Time of Day | Type of Course | Teacher | Notes |
---|---|---|---|---|

MWF | 9:20-10:10 | Math for Liberal Arts | JF | Geometry (tentative) |

MWF | 10:25-11:15 | Math for Liberal Arts | JF | Number Theory (tentative) |

Tu/Thu | 8:15-9:30 | Math for Liberal Arts | PKH | |

Tu/Thu | 11:15-12:30 | Math for Liberal Arts | PKH | |

Tu/Th | 11:15-12:30 | Math for Liberal Arts | VE | |

MWF | 11:30-12:20 | Calc II | PKH | iblcalculus.com |

Tu/Thu | 8:15-9:30 | Calc II | JF | |

Tu/Th | 9:45-11:00 | Differential Equations | BJ | |

MWF | 10:25-11:15 | Math for Elementary Ed | BJ | Patterns, Reasoning, Algebra |

MWF | 12:35-1:25 | Math for Elementary Ed | BJ | Patterns, Reasoning, Algebra |

Tu/Th | 9:45-11:00 | Math Teaching Methods (K-6) | VE | Visit to elementary school |

Tu/Th | 12:45-2:00 | Math Teaching Methods (K-6) | BJ | Visit to elementary school |

Tu/Th | 12:45-2:00 | Math Teaching Methods (PreK-2) | JMc | Visit to elementary school |

#### Fall 2014

Day of Week | Time of Day | Type of Course | Teacher | Notes |
---|---|---|---|---|

MWF | 8:15-9:05 AM | Math for Liberal Arts | JF | First Year |

Tu/Th | 9:45-11:00 | Math for Liberal Arts | PKH | Ideas of Calculus |

Tu/Thu | 11:15-12:30 | Math for Liberal Arts | VE | Games, geometry, art |

Tu/Th | 12:45-2:00 | Math for Liberal Arts | CvR | Honors |

MWF | 11:30-12:20 | Calc I | JF | |

Tu/Th | 7:50-9:30 AM | Calc I | PKH | iblcalculus.com |

Tu/Th | 11:15-12:30 | Calc III | CvR | |

MW | 2:45-4:00 | Modern Geometries | VE | Math majors |

Tu/Th | 9:45-11:00 | Complex Analysis | BJ | Math majors |

MF | 12:35-1:25 | First Year Seminar | JF/BJ | Reasoning book |

TR | 12:45-2:00 | Senior Seminar | PKH | Math majors |

MWF | 10:25-11:15 | Math Methods (Secondary) | CvR | Visit to middle school |

MWF | 8:15-9:05 | Math for Elementary Ed | BJ | Patterns, Reasoning, Algebra |

MWF | 9:20-10:10 | Math for Elementary Ed | BJ | Patterns, Reasoning, Algebra |

MW | 3:50-5:10 | Math for Elementary Ed | JL | Patterns, Reasoning, Algebra |

Tu/Th | 9:45-11:00 | Math Teaching Methods (K-6) | VE | Visit to elementary school |

Tu/Th | 12:45-2:00 | Math Teaching Methods (K-6) | BJ | Visit to elementary school |

Tu/Th | 12:45-2:00 | Math Teaching Methods (PK-2) | JMc | Visit to elementary school |