diff --git a/Makefile b/Makefile
index 0909f3e5..ce6c3f55 100644
--- a/Makefile
+++ b/Makefile
@@ -2,22 +2,20 @@ WORKDIR := /tsfresh
 TEST_IMAGE := tsfresh-test-image
 TEST_DOCKERFILE := Dockerfile.testing
 TEST_CONTAINER := tsfresh-test-container
-# >= 3.9.2 ---> https://github.com/dask/distributed/issues/7956
-PYTHON_VERSIONS := "3.7.12 3.8.12 3.9.12 3.10.12 3.11.0"
-BLACK_VERSION := 22.12.0
-# Isort 5.12.0 not supported with python 3.7.12
-ISORT_VERSION := 5.12.0
+PYTHON_VERSIONS := "3.7 3.8 3.9 3.10 3.11"
 
-build-testenv:
+# Tests `PYTHON_VERSIONS`, provided they are also
+# specified in setup.cfg `envlist`
+test-all-testenv: build-docker-testenv run-docker-tests clean
+
+build-docker-testenv:
 	docker build \
 			-f $(TEST_DOCKERFILE) \
 			-t $(TEST_IMAGE) \
 			--build-arg PYTHON_VERSIONS=$(PYTHON_VERSIONS) \
 			.
 
-# Tests `PYTHON_VERSIONS`, provided they are also
-# specified in setup.cfg `envlist`
-test-all-testenv: clean build-testenv
+run-docker-tests:
 	docker run --rm \
 			--name $(TEST_CONTAINER) \
 			-v .:$(WORKDIR) \
@@ -26,28 +24,8 @@ test-all-testenv: clean build-testenv
 			-v egg_artifacts:$(WORKDIR)/tsfresh.egg-info \
 			$(TEST_IMAGE)
 
-# Tests the python binaries installed
-# on local machine, provided they are also
-# specified in setup.cfg `envlist`
-test-all-local: clean
-	tox -r -p auto
-
-# Tests for python version on local machine in
-# current context (e.g. global or local version of
-# python set by pyenv, or the python version in
-# the active virtualenv).
-test-local: clean
-	pip install .[testing]
-	pytest
-
 clean:
 	rm -rf .tox build/ dist/ *.egg-info
 
-install-formatters:
-	pip install black==$(BLACK_VERSION) isort==$(ISORT_VERSION)
-
-format: install-formatters
-	black --extend-exclude \.docs .
-	isort --profile black --skip-glob="docs" .
 
-.PHONY: clean test-all-local test-local test-all-testenv format install-formatters
+.PHONY: build-docker-testenv clean run-docker-tests test-all-testenv
diff --git a/docs/text/how_to_contribute.rst b/docs/text/how_to_contribute.rst
index a5108eec..4f169e44 100644
--- a/docs/text/how_to_contribute.rst
+++ b/docs/text/how_to_contribute.rst
@@ -64,7 +64,7 @@ you have to:
 
 .. code::
 
-    make test-local
+    pytest
 
 
 To test changes across multiple versions of Python, run:
@@ -72,10 +72,10 @@ To test changes across multiple versions of Python, run:
 
 .. code::
 
-    make test-all-local
+    tox -r -p auto
 
 
-This will execute tests for the Python versions specified in `setup.cfg <https://github.com/blue-yonder/tsfresh/blob/1297c8ca5bd6f8f23b4de50e3f052fb4ec1307f8/setup.cfg>`_ using the `envlist` variable. For example, if `envlist` is set to `py37, py38`, the test suite will run for Python 3.7 and 3.8 on the local development platform, assuming the binaries for those versions are available locally. The exact Python microversions (e.g. `3.7.1` vs `3.7.2`) depend on what is installed on the local development machine.
+This will execute tests for the Python versions specified in `setup.cfg <https://github.com/blue-yonder/tsfresh/blob/main/setup.cfg>`_ using the `envlist` variable. For example, if `envlist` is set to `py37, py38`, the test suite will run for Python 3.7 and 3.8 on the local development platform, assuming the binaries for those versions are available locally. The exact Python microversions (e.g. `3.7.1` vs `3.7.2`) depend on what is installed on the local development machine.
 
 A recommended way to manage multiple Python versions when testing locally is with `pyenv`, which enables organized installation and switching between versions.